[INFINITY LOGO]                                                     Exhibit 99.1


NEWS RELEASE
FOR IMMEDIATE RELEASE


FOR ADDITIONAL INFORMATION FROM INFINITY, INC., PLEASE CONTACT:
STANTON E. ROSS, PRESIDENT/CEO
(620) 431-6200
JAMES W. DEAN, VICE PRESIDENT, STRATEGIC & CORPORATE DEVELOPMENT
(720) 932-7800
www.infinity-res.com
- --------------------

        INFINITY, INC. REPORTS FULL-YEAR AND FOURTH QUARTER 2003 RESULTS

        Company Posts Records for Annual Revenues, Production and EBITDA

DENVER and CHANUTE, Kan. - (PR Newswire) - March 29, 2004 - Infinity, Inc.
(NASDAQ: IFNY) today announced its results for the three months and twelve
months ended December 31, 2003. Financial and operational tables for the three
months and twelve months follow this commentary.

TWELVE MONTH RESULTS

Infinity reported record revenue of $18.2 million for the year ended
December 31, 2003, a 67% increase over the $10.9 million in the prior year.
Gross profit for 2003 was $9.1 million, a 102% increase over the $4.5 million in
the prior year. The net loss for 2003 was $9.9 million (or $1.23 per basic and
diluted share), which included amortization of non-cash loan costs of $5.6
million and a non-cash ceiling writedown of oil and gas properties of $3.0
million related to year-end proved reserve revisions and 2004 decisions to
relinquish leases covering certain undeveloped acreage. For the previous year,
the net loss was $1.6 million (or $0.22 per basic and diluted share) which
included amortization of non-cash loan costs of $0.2 million.

EBITDA (earnings before interest, income taxes, depreciation, depletion and
amortization expenses, gains and losses on the sale of other assets, and ceiling
writedown of oil and gas properties) for 2003 was a record $3.9 million, as
compared to negative EBITDA of less than $0.1 million in the prior year. A
reconciliation of net income to EBITDA, a non-GAAP (generally accepted
accounting principles) financial measure, is provided in the financial tables
following this commentary. Net cash provided by operating activities for 2003
was a record $2.8 million, as compared to $0.1 million in the prior year.

THREE MONTH RESULTS

Infinity reported revenue of $4.4 million for the three months ended
December 31, 2003, a 28% increase over the $3.4 million in the prior year
period. Gross profit for the three months was $2.2 million, a 44% increase over
the $1.5 million


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in the prior year period. The net loss for the three months was $4.6 million (or
$0.56 per basic and diluted share), which included amortization of non-cash loan
costs of $0.8 million and a non-cash ceiling writedown of oil and gas properties
of $3.0 million. For the previous year period, the net loss was $0.5 million (or
$0.07 per basic and diluted share), which included amortization of non-cash loan
costs of $0.2 million.

EBITDA for the three months was $0.9 million, a 618% increase over the $0.1
million in the prior year period. A reconciliation of net income to EBITDA is
provided in the financial tables following this commentary.

OPERATIONS

Oilfield services, provided by Consolidated Oil Well Services, Inc.
("Consolidated") generated revenue of $11.6 million in 2003, a 36% increase over
the $8.6 million in the prior year. For the fourth quarter of 2003, Consolidated
generated revenue of $3.1 million, a 15% increase over the $2.7 million in the
prior year period. Consolidated performed 3,682 cementing, acidizing and
fracturing jobs during 2003, a 34% increase over the 2,756 jobs in the prior
year. For the fourth quarter of 2003, Consolidated performed 937 cementing,
acidizing and fracturing jobs, a 16% increase over the 807 jobs in the prior
year period.

Existing and new operators continue to be increasingly active in the Cherokee
and Forest City Basins. As the largest oilfield service provider for those
areas, Infinity's management expects the Company to continue to benefit in 2004
from its customers' desire to maintain or grow production volumes by developing
their undeveloped acreage.

Infinity Oil & Gas of Wyoming, Inc. ("Infinity-Wyoming") achieved record
production during 2003 of 1.4 billion cubic feet of natural gas equivalent
(Bcfe), an increase of 58% over the 903 million cubic feet of natural gas
equivalent (MMcfe) produced in the prior year. Infinity-Wyoming produced 260
MMcfe during the fourth quarter of 2003, an increase of 21% over the 216 MMcfe
produced in the prior year period, but a decrease of 24% compared to the 340
MMcfe produced in the third quarter of 2003 due to (i) natural decline rates in
producing wells that have not been addressed to date with "re-works" or
workovers and (ii) delays in completing the six wells drilled during the fourth
quarter. Infinity-Wyoming also generated record revenue of $6.6 million during
2003, a 202% increase over the $2.2 million in the prior year. For the fourth
quarter of 2003, Infinity-Wyoming generated revenue of $1.3 million, a 73%
increase over the $0.7 million in the prior year period.


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NEWS RELEASE
FOR IMMEDIATE RELEASE


MANAGEMENT'S COMMENTS

Stanton E. Ross, Infinity President and Chief Executive Officer, said: "We are
very pleased to report a number of Company-record financial and operating
results. We continue to address a number of challenges with respect to our
natural gas and oil exploration and production ("E&P") projects and, as a
result, expect our E&P results to improve during 2004. With respect to
Consolidated, we expect another strong year in 2004 in terms of job activity and
resulting revenue and free cash flow generation."

Ross continued: "We believe our anticipated acquisition of acreage in the
Barnett Shale and our recent acquisition in the Rocky Mountains, together with
our continued work to develop and enhance production at the Company's Rocky
Mountain fields, provides us with a good balance of growth opportunities in
terms of geographic location and operational focus, in terms of both development
and exploration."

CONFERENCE CALL REMINDER

The Company will host a conference call on Tuesday, March 30, 2004, at 8:30 a.m.
Eastern Standard Time to discuss the reported financial and operating results in
greater detail. The dial-in number for the call is 800-915-4836 (international
participants should dial 973-317-5319).

Parties interested in participating in the conference call should dial in
approximately ten minutes prior to the 8:30 a.m. EST start time. The call will
also be broadcast live on the Internet at
http://www.vcall.com/CEPage.asp?ID=87650.
- ----------------------------------------

A replay of the conference call will be available approximately two hours after
the completion of the call through April 6, 2004, by dialing 800-428-6051
(international callers should dial 973-709-2089) and entering the access code
ID #346024. The call will also be archived for two weeks at
http://www.vcall.com/CEPage.asp?ID=87650.
- ----------------------------------------

ABOUT INFINITY, INC.

Infinity, Inc., through its wholly-owned subsidiary Infinity Oil & Gas of
Wyoming, Inc., is an independent energy company engaged in the exploration,
development, production, operation and acquisition of natural gas and oil
properties. The Company's current operations are principally focused on the
development and expansion of its producing Wamsutter Arch (Pipeline) project


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NEWS RELEASE
FOR IMMEDIATE RELEASE


and emerging Labarge coal bed methane project, which are located in the Greater
Green River Basin in southwestern Wyoming. Infinity Oil & Gas of Wyoming also
holds exploration and development rights in the Sand Wash and Piceance Basins of
northwest Colorado. Infinity, Inc. also provides oilfield services through its
wholly-owned subsidiary, Consolidated Oil Well Services, Inc., based in Chanute,
Kansas, with operations focused primarily in the Mid-Continent region. The
Company's common stock is listed on The NASDAQ National Market under the symbol
"IFNY."

FORWARD-LOOKING STATEMENTS

This press release includes statements that may constitute "forward-looking"
statements, usually containing the words "believe," "estimate," "project,"
"expect," "plan," "should" or similar expressions. These statements are made
pursuant to the safe harbor provisions of the Private Securities Litigation
Reform Act of 1995. Forward-looking statements inherently involve risks and
uncertainties that could cause actual results to differ materially from the
forward-looking statements. Factors that could cause or contribute to such
differences include, but are not limited to, operating problems, the results of
drilling, the availability of third party financing at the times and on the
terms anticipated, the completion of transactions and transaction documents at
the times and on the terms anticipated, fluctuations in the prices of oil and
gas, uncertainties inherent in estimating quantities of oil and gas reserves and
projecting future rates of production and timing and costs of development
activities, operating risks, liquidity and capital requirements, the effects of
governmental regulation, adverse changes in the market for the Company's oil and
gas production, dependence upon third-party vendors, continued acceptance of the
company's oil field services in their marketplace, the effects of governmental
regulation, and other risks detailed in the Company's periodic report filings
with the Securities and Exchange Commission. You can find the Company's filings
with the Securities and Exchange Commission at www.infinity-res.com or at
www.sec.gov. By making these forward-looking statements, the Company undertakes
no obligation to update these statements for revisions or changes after the date
of this release.


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                         INFINITY, INC. AND SUBSIDIARIES
                           CONSOLIDATED BALANCE SHEETS

                                                             December 31,
                                                     ------------   -----------
                                                        2003            2002
                                                     ------------   -----------
                                     ASSETS
                                                              
Current assets
  Cash and cash equivalents                          $    727,134   $    867,017
  Accounts receivable, less allowance for
     doubtful accounts of
     $80,000 and $25,000                                1,766,642      1,514,159
  Inventories                                             351,197        340,217
  Prepaid expenses and other                              222,625        257,575
  Derivative asset                                         97,624             -
                                                     ------------   -----------
     Total current assets                               3,165,222      2,978,968

Property and equipment, at cost, less
  accumulated depreciation and ceiling
  writedown of oil and gas properties                  10,169,159     10,315,068
Oil and gas properties, using full cost
  accounting net of accumulated depreciation,
  depletion, and amortization
     Subject to amortization                           23,446,343     19,107,427
     Not subject to amortization                       12,815,834     13,176,850
Intangible assets, at cost, less accumulated
  amortization                                          3,952,989      5,299,881
Note receivable, less current portion                   1,580,742      1,597,053
Other assets, net                                         135,989        655,022
                                                     ------------   ------------
Total assets                                         $ 55,266,278   $ 53,130,269
                                                     ============   ============

                      LIABILITIES AND STOCKHOLDERS' EQUITY

Current liabilities
  Current portion of long-term debt                  $  1,762,777   $  2,227,195
  Accounts payable                                      2,645,277      2,875,900
  Accrued expenses                                      1,329,587        889,894
                                                     ------------   ------------
     Total current liabilities                          5,737,641      5,992,989

Long-term liabilities
  Production taxes payable                                387,709         79,632
  Long-term debt, less current portion                  9,252,872      4,464,156
  8% subordinated convertible notes payable             2,793,000      4,243,000
  7% subordinated convertible notes payable            11,184,000     12,540,000
  Note payable - related party                          3,000,000      3,000,000
                                                     ------------   ------------
     Total liabilities                                 32,355,222     30,319,777
                                                     ------------   ------------

Commitments and contingencies

Stockholders' equity
  Common stock, par value $.0001, authorized
     300,000,000 shares, issued and
     outstanding 8,204,032 and 7,558,462 shares               820            756
  Additional paid-in-capital                           32,720,904     22,870,449
  Accumulated other comprehensive income (loss)            97,624        (77,301)
  (Accumulated deficit) retained earnings              (9,908,292)        16,588
                                                     ------------   ------------
     Total stockholders' equity                        22,911,056     22,810,492
                                                     ------------   ------------

Total liabilities and stockholders' equity           $ 55,266,278   $ 53,130,269
                                                     ============   ============



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                                                   For the Three Months Ended
                                                          December 31,                       For the Year Ended
                                                                                                December 31,
                                                ------------      ---------------     --------------     --------------
                                                    2003               2002               2003                2002
                                                ------------      ---------------     --------------     --------------
                                                                                             
Revenue
   Oil and gas service operations               $  3,081,630      $     2,668,995     $   11,634,457     $    8,570,631
   Oil and gas sales                               1,292,552              745,439          6,589,281          2,367,713
                                                ------------      ---------------     --------------     --------------
     Total revenue                                 4,374,182            3,414,434         18,223,738         10,938,344
                                                ------------      ---------------     --------------     --------------

Cost of sales
   Oil and gas service operations                  1,666,797            1,362,562          6,222,919          4,620,663
   Oil and gas production expenses                   378,601              455,312          2,161,666          1,582,816
   Oil and gas production taxes                      169,034               93,758            758,827            237,876
                                                ------------      ---------------     --------------     --------------
     Total cost of sales                           2,214,432            1,911,632          9,143,412          6,441,355
                                                ------------      ---------------     --------------     --------------

Gross profit                                       2,159,750            1,502,802          9,080,326          4,496,989

Operating expenses                                 1,282,705            1,415,232          5,311,080          4,647,062
Depreciation, depletion and amortization           1,145,997              851,816          3,074,247          1,782,586
Ceiling writedown of oil and gas
   properties                                      2,975,000                   -           2,975,000                 -
                                                ------------      ---------------     --------------     --------------
                                                   5,403,702            2,267,048         11,360,327          6,429,648
                                                ------------      ---------------     --------------     --------------

Operating income (loss)                           (3,243,952)            (764,246)        (2,280,001)        (1,932,659)

Other income (expense)
   Interest income and other income                   14,862               36,737            129,599            102,460
   Amortization of non-cash loan costs              (794,387)            (167,977)        (5,620,300)          (204,172)
   Amortization of cash loan costs                  (103,977)             (26,034)          (580,333)           (30,508)
   Interest expense                                 (473,014)             (85,257)        (1,593,765)          (602,350)
   Gain (loss) on sale of other assets                47,006              (41,663)            19,920            (33,665)
                                                ------------      ---------------     --------------     --------------
     Total other income (expense)                 (1,309,510)            (284,194)        (7,644,879)          (768,235)
                                                ------------      ---------------     --------------     --------------

Net income (loss) before income taxes             (4,553,462)          (1,048,440)        (9,924,880)        (2,700,894)

Income tax (expense) benefit                              -               508,028                 -           1,144,028
                                                ------------      ---------------     --------------     --------------

Net income (loss)                               $ (4,553,462)     $      (540,412)    $   (9,924,880)    $   (1,556,866)
                                                ============      ===============     ==============     ==============

Basic earnings (loss) per share                 $      (0.56)     $         (0.07)    $        (1.23)    $        (0.22)
                                                ============      ===============     ==============     ==============

Diluted earnings (loss) per share               $      (0.56)     $        (0.07)     $        (1.23)    $        (0.22)
                                                ============      ===============     ==============     ==============

Weighted average basic shares                      8,193,243            7,498,060          8,047,688          7,202,844
   outstanding                                  ============      ===============     ==============     ==============

Weighted average diluted shares                    8,193,243            7,498,060          8,047,688          7,202,844
   outstanding                                  ============      ===============     ==============     ==============



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                         INFINITY, INC. AND SUBSIDIARIES
                       CONSOLIDATED STATEMENT OF CASH FLOW


                                                                                          For the Year Ended
                                                                                             December 31,
                                                                                ----------------      ----------------
                                                                                       2003                 2002
                                                                                ----------------      ----------------
                                                                                                
Cash flows from operating activities
   Net income (loss)                                                            $     (9,924,880)     $     (1,556,866)
                                                                                ----------------      ----------------
   Adjustments to reconcile net income (loss) to net cash provided by
    operating activities
     Depreciation, depletion, amortization and ceiling writedown                      12,249,880             2,017,266
     Deferred income taxes                                                                    -             (1,144,028)
     Loss (gain) on sale of other assets                                                 (19,920)               33,665
     Change in assets and liabilities
       (Increase) decrease in accounts receivable                                       (252,483)               85,725
       (Increase) decrease in inventories                                                (10,980)                9,999
       (Increase) decrease in prepaid expenses and other                                 (12,234)              (89,985)
       Increase in accounts payable                                                       32,758               284,657
       Increase in accrued expenses                                                      782,391               495,383
                                                                                ----------------      ----------------
                                                                                      12,769,412             1,692,681
                                                                                ----------------      ----------------
         Net cash provided by operating activities                                     2,844,532               135,815
                                                                                ----------------      ----------------

Cash flows from investing activities
   Purchase of property, equipment, and intangibles                                   (1,097,474)           (2,695,382)
   Proceeds from the sale of investments and marketable securities                            -                750,000
   Proceeds from sale of property and equipment, oil and gas properties and
    other assets                                                                         104,911               235,000
   Investment in oil and gas properties                                               (5,736,038)          (14,426,524)
   Payments on note receivable                                                            15,103                 7,844
   Increase in other assets                                                             (188,093)              (88,547)
                                                                                ----------------      ----------------
         Net cash used in investing activities                                        (6,901,591)          (16,217,609)
                                                                                ----------------      ----------------

Cash flows from financing activities
   Proceeds from borrowings on long-term debt                                         11,452,861            21,749,993
   Sale of common stock                                                                  824,234             1,947,205
   Principal payments on long-term debt                                               (8,359,919)           (7,414,285)
                                                                                ----------------      ----------------
         Net cash provided by financing activities                                     3,917,176            16,282,913
                                                                                ----------------      ----------------

Net increase (decrease) in cash and cash equivalents                                    (139,883)              201,119

Cash and cash equivalents, beginning of period                                           867,017               665,898
                                                                                ----------------      ----------------

Cash and cash equivalents, end of period                                        $        727,134      $        867,017
                                                                                ================      ================



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[INFINITY LOGO]


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                         INFINITY, INC. AND SUBSIDIARIES
               SELECTED OPERATING AND FINANCIAL DATA BY SUBSIDIARY


                                                   For the Three Months Ended             For the Year Ended
                                                          December 31                       December 31,
                                                ------------      -------------      -------------      -------------
                                                    2003               2002               2003                2002
                                                ------------      -------------      -------------      -------------
                                                                                            
Consolidated
 (Dollars in thousands, before cash discounts)

   Job type:
     Cementing                                        517                323              1,740              1,002
     Acidizing                                        229                173                931                773
     Fracturing                                       191                311              1,011                981

   Job revenues:(1)
     Cementing                                     $1,721.1           $1,598.4           $4,807.4           $3,376.6
     Acidizing                                       $370.9             $333.6           $1,405.1           $1,117.0
     Fracturing                                    $1,258.8           $3,132.1           $6,107.2           $6,537.0


Infinity-Wyoming Statistics (2)
(Dollars in thousands)

   Production Volumes:
     Natural gas (MMcf)                               197.1              164.5            1,080.5              648.2
     Oil and condensate (MBbls)                        10.5                8.5               57.7               42.5
     Natural gas equivalents (MMcfe; 6:1)             260.1              215.5            1,426.4              903.3

   Financial Results:
     Natural gas revenue                        $     973.9       $      493.2       $    4,830.5       $    1,273.7
     Oil and condensate revenue                 $     318.7       $      253.4       $    1,758.8       $      910.7
       Total revenue                            $   1,292.6       $      746.6       $    6,589.3       $    2,184.4
     Production expenses                        $     375.8       $      436.2       $    2,161.7       $    1,301.1
     Production taxes                           $     164.4       $       93.8       $      758.8       $      236.7

   Financial Results, per Mcfe:
     Natural gas revenue                        $       4.94      $        3.00      $        4.47      $        1.97
     Oil and condensate revenue                 $      30.37      $       29.76      $       30.51      $       21.41
     Natural gas equivalent revenue             $       4.97      $        3.46      $        4.62      $        2.42

     Production expenses                        $       1.44      $        2.02      $        1.52      $        1.44
     Production taxes                           $       0.63      $        0.44      $        0.53      $        0.26


(1) Prior to eliminations of Inter-company sales of $2.1 million in 2002.
(2) Includes revenue, expense and operating data only from the Wamsutter Arch
    Pipeline Field and Labarge project.


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                         INFINITY, INC. AND SUBSIDIARIES
     NON-GAAP DISCLOSURES: RECONCILIATION OF NET INCOME (LOSS) TO EBITDA (1)


                                             For the Three Months Ended             For the Year Ended
                                                    December 31,                       December 31,
                                            ------------      ------------     ------------      ------------
                                                2003             2002              2003             2002
                                            ------------      ------------     ------------      ------------
                                                                                     
   Net income (loss)                        $ (4,553,462)     $   (540,412)    $ (9,924,880)     $ (1,556,866)
   Adjustments:
     Depreciation, depletion,                  5,019,361         1,045,827       12,249,880         2,017,266
       amortization and ceiling
       writedown of oil and gas
       properties
     Interest expense                            473,014            85,257        1,593,765           602,350
     Loss (gain) on sale of other                (47,006)           41,663          (19,920)           33,665
       assets
     Income tax expense (benefit)                     -           (508,028)              -         (1,144,028)
                                            ------------      ------------     ------------      ------------

   EBITDA                                   $    891,907      $    124,307     $  3,898,845      $    (47,613)
                                            ============      ============     ============      ============




(1) In this press release, the term "EBITDA" is used. EBITDA is equivalent to
earnings before interest, income taxes, depreciation, depletion and amortization
expenses, gains and losses on the sale of other assets, and ceiling writedown of
oil and gas assets. Infinity's management believes EBITDA is an important
financial measurement tool that provides information about the Company's ability
to service or incur indebtedness, and pay for its capital expenditures. This
information differs from measures of performance determined in accordance with
generally accepted accounting principles (GAAP) and should not be considered in
isolation or as a substitute for measures of performance prepared in accordance
with GAAP. This measure is not necessarily indicative of operating profit or
cash flow from operations as determined under GAAP and may not be titled to
similarly titled measures of other companies.



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