42 751 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
5747475990239	13	42.4	old
7992065174521	13	42.9	2008-08-26 20:01:07
7644959610056687390207	22	72.7	2009-04-22 01:32:16
103282515271275353226449425735683337	36	116.3	2021-10-25 05:50:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	645 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^114 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	415ACBDF70833B38	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	415ACBDF70833B38	3	0	1	3
Verified (Factored)	2017-12-07	ATH	415ACBDF70833B38	3	7700	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	429077E3FC3621EF	3	23377	5	3
Verified	2021-10-25	mikr	429077E3FC3621EF	4	35380	5	3

History

Date	User	Type	Result
2023-04-15	JacobZ	NF-PM1	B1=840000000, B2=576806850219600
2021-10-25	mikr	C-PRP	M42751/5747475990239/7992065174521/7644959610056687390207/103282515271275353226449425735683337 : 429077E3FC3621EF PRP: Verified PRP without proof (small exponent)
2021-10-25	debrouxl	F-ECM	Factor: 103282515271275353226449425735683337 / (ECM curve 125, B1=1000000, B2=100000000, Sigma=9028046741380178)
2020-04-17	Oliver Kruse	C-PRP	M42751/5747475990239/7992065174521/7644959610056687390207 : 429077E3FC3621EF PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M42751/5747475990239/7992065174521/7644959610056687390207 : 415ACBDF70833B38 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M42751/5747475990239/7992065174521/7644959610056687390207 : 415ACBDF70833B38 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M42751/known_factors : 415ACBDF70833B38 PRP without proof (not generated)
2016-09-19	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-04-22	Matthias Wurtinger	F-ECM	Factor: 7644959610056687390207
2008-08-26	-Anonymous-	F	Factor: 7992065174521