4 933 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 10 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
29599	5	14.9	old
3637821119	10	31.8	old
25117652081	11	34.5	old
35368771391	11	35.0	old
169745595529	12	37.3	old
90043391515951	14	46.4	old
740782867588969631	18	59.4	old
359805386252506578683471	24	78.3	old
47332662224988461128710060020435516120344835557993	50	165.0	2020-10-16 04:15:04
1552544580255765059978618542093161661106227966313804593681333703	64	209.9	2021-05-18 15:22:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	22768 / 40830

Estimated T-Level: 52.8 ⓘ

TF below 2^170 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	EBA8AAFB552103C5	8	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	EBA8AAFB552103C5	8	0	1	3
Verified (Factored)	2017-12-07	ATH	EBA8AAFB552103C5	8	3504	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	9B22B1961262846D	8	51	5	3
Verified (Factored)	2020-10-16	mnd9	9B22B1961262846D	9	3085	5	3
Verified (Factored)	2020-10-17	mrh	9B22B1961262846D	9	1503	5	3
Verified	2021-05-18	LOBES	9B22B1961262846D	10	2286	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-20	29599	100000000000	100000000000

History

Date	User	Type	Result
2025-05-22	masser	NF-PP1	Start=145/47, B1=2100000000, B2=2097900000000
2023-04-04	-Anonymous-	NF-PM1	B1=5000000000000, B2=11002656267012279870
2022-01-27	Ethan O'Connor	NF-PM1	B1=1200000000, B2=42046548081788250
2021-12-20	Joss	F-PM1	Factor: 1083075374163896144325124437288074335446076645814531256770986008718634711847799 / (P-1, B1=100000000000)
2021-11-24	Lisander Viaene	NF-PM1	B1=780000000, B2=9360000000
2021-05-18	firejuggler	NF-PM1	B1=600000000, B2=48600000000
2021-05-18	LOBES	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471/47332662224988461128710060020435516120344835557993/1552544580255765059978618542093161661106227966313804593681333703 : 9B22B1961262846D PRP: Verified PRP without proof (small exponent)
2021-05-18	Ryan Propper	F-ECM	Factor: 1552544580255765059978618542093161661106227966313804593681333703 / (ECM curve 1, B1=850000000, B2=14142901172416, Sigma=17088328772649904399)
2021-02-28	Joss	NF-PM1	B1=20000000000
2020-10-17	mrh	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471/47332662224988461128710060020435516120344835557993 : 9B22B1961262846D PRP: Verified PRP without proof (small exponent)
2020-10-16	mnd9	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471/47332662224988461128710060020435516120344835557993 : 9B22B1961262846D PRP: Verified PRP without proof (small exponent)
2020-10-16	Ryan Propper	F-ECM	Factor: 47332662224988461128710060020435516120344835557993 / (ECM curve 1, B1=260000000, B2=3104064163218, Sigma=13854029859602576522)
2020-04-17	Oliver Kruse	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471 : 9B22B1961262846D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471 : EBA8AAFB552103C5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4933/29599/3637821119/25117652081/35368771391/169745595529/90043391515951/740782867588969631/359805386252506578683471 : EBA8AAFB552103C5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4933/known_factors : EBA8AAFB552103C5 PRP without proof (not generated)