(from a Will Edgington's idea of a Double Mersenne Primes' page)
This page lists the current status of each Double Mersenne number, including all early searches for MM(13) - MM(31) and the highest K currently searched for MM(61) - MM(136279841).
For the second factor of M(M(17)) and the first factor of M(M(31)) see also page 45 of Guy Haworth's 1987 report on Mersenne Numbers.
The Reservations page has the status of the actual reserved ranges.
MM2 P
MM3 P
MM5 P
MM7 P
MM13 C: 338193759479 # k = 20644229, Wilfrid Keller (1976)
MM13 C: 210206826754181103207028761697008013415622289
# k = 2^3 * 3^4 * 11 * 512237490733 * 3514316262671725281413641
# Phil Moore, Prime95 ECM, 2003 June 12
MM13 H: 2^55 # Charles F. Kerchner III, Prime95, stopped
MM13 H: k=2250524799600 # Jocelyn Larouche, MFAC, stopped, 2000 Feb 16
# More trial factoring should be pointless due to:
MM13 H # Reto Keiser, Prime95 ECM, stopped, 2002 Apr 26
# ... but ECM is partially random, so more ECM or P-1 is probably worthwhile.
MM13 o: 3e9 # Warut Roonguthai, Factor95, stopped (no P-1 save file)
MM13 c: 2410 # Phil Moore, w/Prime95, Maple, & PrimeForm, 2003 June 12
MM13 o: 2000000000000 20000000000000000
# Yaroslav Berezhko, own program (B1) and GMP-ECM (B2) stopped, 2020 Dec 21, save file avail.
MM13 o: 100000 268760436374430 # Jorge Coveiro, Prime95 P-1, 2022 Jan 24
MM13 o: 1000000000 268760436374430
# Jorge Coveiro, Prime95 P-1, 2022 Jan 24
MM13 o: 20000000000 268760436374430
# Jorge Coveiro, Prime95 P-1, 2022 Jan 29
MM17 C: 231733529 # k = 884, Raphael Robinson (1957)
MM17 C: 64296354767 # k = 245273, Wilfrid Keller (1981 Nov 27)
MM17 H: k=17608434819360 # Jocelyn Larouche, MFAC, stopped, 2000 Feb 16
MM17 H # Reto Keiser, Prime95 ECM, stopped, 2002 Apr 26
MM17 o: 200000000 4290000000 # Reto Keiser, Prime95 P-1, stopped, 2000 Nov 21, save file avail.
MM17 c: 39438 # Phil Moore, 2001 January, Chris Nash's Primeform
MM19 C: 62914441 # k = 60, Raphael Robinson (1957)
MM19 C: 5746991873407 # k = 5480769, Will Edgington - Wilfrid Keller 1994 Aug 20
MM19 C: 824271579602877114508714150039
# Phil Moore, Prime95 ECM 2000 Dec 6
# k = 3*11*199*39509*3029759717908279
MM19 C: 2106734551102073202633922471
# Phil Moore, Prime95 ECM 2003 Mar 20
# k = 3*5*113*112877*10501118807327
MM19 C: 65997004087015989956123720407169
# Phil Moore, Prime95 ECM 2011 Sep 30
# B1=3e6; cofactor composite
MM19 C: 4565880376922810768406683467841114102689
# Phil Moore, Prime95 ECM 2023 Dec 06
# B1=11e6, B2=1.1e9 cofactor composite
MM19 H: k=4398054899728 # "
MM19 H # Reto Keiser, Prime95 ECM, stopped, 2002 Apr 26
MM19 o: 30000000 1500000000 # Reto Keiser, Prime95 P-1, stopped, 2000 Nov 21, save file avail.
MM19 c: 157749 # Phil Moore, 2003 Mar 20, Chris Nash's Primeform
MM19 o: 1000000000 2100000000 # Jorge Coveiro, gpuowl P-1, 2022 Jan 30
MM19 o: 1000000000 659751021930 # Jorge Coveiro, Prime95 P-1, 2023 Apr 11
MM31 C: 295257526626031 # k = 68745, Wilfrid Keller 1981 Nov 27
MM31 C: 87054709261955177 # k = 20269004, Tony Forbes - Wilfrid Keller 1994 Aug 20
MM31 C: 242557615644693265201 # k = 56474845800, Reto Keiser 1999 Dec 6
MM31 C: 178021379228511215367151 # k = 41448832329225, Ernst Mayer 2005 June 20
MM31 H: k=1155000000000000000 # Doublemersennes.org and George Woltman's mmff since 2012 September 1
MM61 U: k=600000000000000000 # Doublemersennes.org and George Woltman's mmff since 2012 September 1
MM89 U: k=78000000000000000 # Doublemersennes.org and George Woltman's mmff since 2012 September 1
MM107 U: k=300000000000000000 # Doublemersennes.org and George Woltman's mmff since 2012 September 1
MM127 U: k=1152921504606846976 # Doublemersennes.org and George Woltman's mmff since 2012 September 1
MM521 U: k=1250000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM607 U: k=800000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM1279 U: k=240000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM2203 U: k=60000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM2281 U: k=48000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM3217 U: k=19200000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM4253 U: k=9600000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM4423 U: k=9000000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM9689 U: k=4800000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM9941 U: k=4800000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM11213 U: k=3200000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM19937 U: k=1200000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM21701 U: k=960000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM23209 U: k=800000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM44497 U: k=200000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM86243 U: k=48000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM110503 U: k=40000000 # Gary Gostin, completed on 2025-11-22 with dmfs.
MM132049 U: k=32000000 # Gary Gostin, completed on 2025-11-23 with dmfs.
MM216091 U: k=20000000 # Gary Gostin, completed on 2025-11-26 with dmfs.
MM756839 U: k=2000000 # Luigi Morelli, completed on 2017-06-30 with mmpsieve LLR.
MM859433 U: k=2000000 # Luigi Morelli, completed on 2017-08-17 with mmpsieve LLR.
MM1257787 U: k=2000083 # DoubleMersennes.org, sieved k= 2000084 to 1000T - Continuing.
MM1398269 U: k=1500007 # DoubleMersennes.org, sieved k= 1500008 to 700T - Continuing.
MM2976221 U: k=350459 # DoubleMersennes.org, sieved k= 350460 to 601T - Continuing.
MM3021377 U: k=311212 # DoubleMersennes.org, sieved k= 311213 to 365T - Continuing.
MM6972593 U: k=114119 # DoubleMersennes.org, sieved k= 114120 to 1600T - Continuing.
MM13466917 U: k=100535 # DoubleMersennes.org, sieved k= 100536 to 302T - Continuing.
MM20996011 U: k=1112 # DoubleMersennes.org, sieved k= 1113 to 300T - Continuing.
MM24036583 U: k=1079 # DoubleMersennes.org, sieved k= 1080 to 331T - Continuing.
MM25964951 U: k=779 # DoubleMersennes.org, sieved k= 780 to 331T - Continuing.
MM30402457 U: k=719 # DoubleMersennes.org, sieved k= 720 to 400T - Continuing.
MM32582657 U: k=715 # DoubleMersennes.org, sieved k= 716 to 500T - Continuing.
MM37156667 U: k=683 # DoubleMersennes.org, sieved k= 684 to 2100T - Continuing.
MM42643801 U: k=647 # DoubleMersennes.org, sieved k= 648 to 2500T - Continuing.
MM43112609 U: k=512 # DoubleMersennes.org, sieved k= 513 to 500T - Continuing.
MM57885161 U: k=484 # DoubleMersennes.org, sieved k= 485 to 750T - Continuing.
MM74207281 U: k=283 # DoubleMersennes.org, sieved k= 284 to 1600T - Continuing.
MM77232917 U: k=148 # DoubleMersennes.org, sieved k= 149 to 2400T - Continuing.
MM82589933 U: k=340 # DoubleMersennes.org, sieved k= 341 to 3600T - Continuing.
MM136279841 U: k=40 # DoubleMersennes.org, sieved k= 41 to 5000T - Continuing.
Legend:
George Woltman released a fast program, mmff to factor small double mersenne numbers.
Mark Rodenkirch also released a specific siever called dmdsieve (and dmdsievecl that uses OpenCL on GPUs) from his compilation of sievers (Mtsieve) help searching for higher Mersenne numbers up to MM136,279,841.
Ernst W. Mayer developed a siever to attack small k ofthe largest double Mersenne numbers.
Landon Curt Noll was using the calc program to factor M( M( 127 ) ).
Rob Hooft developed a program, mmtrial, which uses freeLIP; it is in the mers package, which is available at this address on Will Edgington's personal web pages .
Conrad Curry's mmfac program is available on his ftp site as mmfac.zip
His ecm3 for DOS, a port of the mers package's ecm3 v4.1, is also there as ecm3.zip.
Tony Forbes maintained a distributerd project to search for factors of 2261-1-1.
His website records his work.
Here is an interesting article written by I.J. Good, titled Conjectures concerning the Mersenne Numbers.
Please send updates, corrections, questions, and new information to me .
Thanks,
Luigi Morelli