61 637 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2958577	7	21.5	old
4807687	7	22.2	2008-08-26 20:08:57
20093663	8	24.3	2008-08-26 20:08:57
3292160976167739977768724283855897	34	111.3	2016-12-10 04:05:30
13593974876405562196517070679383257569	38	123.4	2022-11-17 20:39:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	567 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	15A5ABB728E4A8EB	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	15A5ABB728E4A8EB	4	0	1	3
Verified (Factored)	2017-12-07	ATH	15A5ABB728E4A8EB	4	2969	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BCCF8D4B4EE0078B	4	29688	5	3
Verified	2022-11-17	George Woltman	BCCF8D4B4EE0078B	5	21049	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-10	3292160976167739977768724283855897	100000000	3042014761758
2022-11-17	13593974876405562196517070679383257569	1000000000	89189520990570

History

Date	User	Type	Result
2022-11-17	George Woltman	C-PRP	M61637/2958577/4807687/20093663/3292160976167739977768724283855897/13593974876405562196517070679383257569 : BCCF8D4B4EE0078B PRP: Verified PRP without proof (small exponent)
2022-11-17	George Woltman	F-PM1	Factor: 13593974876405562196517070679383257569 / (P-1, B1=1000000000, B2=89189520990570)
2022-11-04	George Woltman	NF-PM1	B1=1000000000
2021-04-26	ATH	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M61637/2958577/4807687/20093663/3292160976167739977768724283855897 : BCCF8D4B4EE0078B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M61637/2958577/4807687/20093663/3292160976167739977768724283855897 : 15A5ABB728E4A8EB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M61637/2958577/4807687/20093663/3292160976167739977768724283855897 : 15A5ABB728E4A8EB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M61637/2958577/4807687/20093663/3292160976167739977768724283855897 : 15A5ABB728E4A8EB PRP without proof (not generated)
2016-12-10	kkmrkkblmbrbk	F-PM1	Factor: 3292160976167739977768724283855897 / (P-1, B1=100000000, B2=3042014761758)
2016-10-15	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 20093663
2008-08-26	-Anonymous-	F	Factor: 4807687