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Collection of mathematical and algorithmic hacks
HAKMEM, alternatively known as AI Memo 239, is a February 1972 "memo" (technical report) of the MIT AI Lab containing a wide variety of hacks, including
HAKMEM
Natural number
3578 2859 23910 1A811 17B12 The next number with this property is 5927. HAKMEM (incidentally AI memo 239 of the MIT AI Lab) included an item on the properties
239_(number)
Software algorithm book
language edition of this book was published by SIBaccess Co. Ltd., in 2004. HAKMEM Popcount Find first set Warren, Henry S. Jr. (2013). Hacker's Delight (2 ed
Hacker's_Delight
by u(n) then u(n) behaves as follows: Richard Schroeppel stated in the HAKMEM (1972), Item #29 that the asymptotic probability that a randomly chosen
Unusual_number
Binary representation for signed numbers
else if A(i) = 1 and B(i) = 0 then return +1 end end return 0 In a classic HAKMEM published by the MIT AI Lab in 1972, Bill Gosper noted that whether or not
Two's_complement
1962 display hack
likely to be referred to as munching foos. "ITEM 146: MUNCHING SQUARES". HAKMEM. Archived from the original on September 5, 2019. Raymond, Eric S. "munching
Munching_square
On finding a repeating loop in a sequence
saved), which are roughly exponentially spaced. According to the note in HAKMEM item 132, this algorithm will detect repetition before the third occurrence
Cycle_detection
Number of nonzero symbols in a string
Schroeppel, Richard C.; Orman, Hilarie K. (1972-02-29). "compilation". HAKMEM. By Beeler, Michael; Gosper, Ralph William; Schroeppel, Richard C. (report)
Hamming_weight
American mathematician and programmer (born 1943)
the MIT AI Lab. His contributions to computational mathematics include HAKMEM and the MIT Maclisp system. He made major contributions to Macsyma, Project
Bill_Gosper
Family of related bitwise operations on machine words
(April 1995) [1972-02-29]. Baker, Henry Givens Jr. (ed.). "Loop detector". HAKMEM (retyped & converted ed.). Cambridge, Massachusetts, USA: Artificial Intelligence
Find_first_set
Non-standard positional numeral system
and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, p. 24, Feb. 1972. http://www.hakmem.org/#item128 Francis
Negative_base
Nonsense text generator
spectace logic or problem! The dissociated press algorithm is described in HAKMEM (1972) Item #176. The name "dissociated press" is first known to have been
Dissociated_press
Influential memorandums
computer program to play chess convincingly AI Memo 239 (1972), also known as HAKMEM, a compendium of hacks and algorithms Sussman and Steele's Lambda Papers:
AI_Memo
American mathematician
Schroeppel's contribution is often overlooked. Schroeppel's Erdős number is 2. HAKMEM Counter machine "Lane Student Wins Top U.S. Math Award""Chicago Tribune
Richard_Schroeppel
Two-player strategy game invented by Danish polymath Piet Hein
proposed by Hein, the second player will always win with correct play (HAKMEM item #74). If the game is instead played with the normal play convention
TacTix
Operating system
community. Some were issued as more formal AI Memos, including the iconic HAKMEM compendium. All users could talk with instant messaging on another's terminal
Incompatible Timesharing System
Incompatible_Timesharing_System
Number represented as a0+1/(a1+1/...)
(formula 03.02.17.0001)". functions.wolfram.com. Retrieved 2025-07-31. "HAKMEM -- CONTINUED FRACTIONS -- DRAFT, NOT YET PROOFED". www.inwap.com. Retrieved
Simple_continued_fraction
American mathematician
Arithmetic-Geometric Mean". Mathematics of Computation. 30 (135): 565–570. JSTOR 2005327. HAKMEM Carey Bloodworth (August 11, 1996). "pi-ref.doc". Archived from the original
Eugene Salamin (mathematician)
Eugene_Salamin_(mathematician)
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Girl/Female
English
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Happy, Delighted, Content, Pleasant
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Australian, Christian, French, Irish
Holy; Sacred; Little Bone; Servant of the Saint's Disciple; From the New Town
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Australian, Dutch, German, Greek
Victorious Army; People's Victory; Victory of the People
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Of the Guru
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Afghan, Arabic
Light
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Arabic, Indian, Muslim
Inhabitant
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Muslim
Happy, Advances
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African, Arabic, Malaysian, Swahili
Without Blemish; Hidden; Chaste
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Muslim
An epithet of the prophet Nuh
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