1 931 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3863	4	11.9	old
50207	5	15.6	old
543012649	9	29.0	old

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	40830 / 40830
60	260000000	105362 / 105362
65	800000000	68371 / 194238

Estimated T-Level: 61.8 ⓘ

TF below 2^200 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D0DF035A177178AD	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D0DF035A177178AD	3	348	1	3
Verified	2020-04-17	Oliver Kruse	240C932F117BF6B1	3	1918	5	3
Verified	2020-08-12	_p95holder_	240C932F117BF6B1	3	1616	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	240C932F117BF6B1	1	377	5	3

History

Date	User	Type	Result
2023-01-05	mikr	NF-PM1	B1=600000000000, B2=4038154678166989380
2022-07-14	mikr	NF-PM1	B1=300000000000, B2=983223146706230430
2022-05-12	Jorge Coveiro	C-PRP	M1931/3863 : 240C932F117BF6B1 PRP: Verified (Factored) PRP without proof (small exponent)
2021-07-26	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1931/3863/50207/543012649 : 240C932F117BF6B1 PRP: Verified (Factored) PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1931/3863/50207/543012649 : 240C932F117BF6B1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M1931/3863/50207/543012649 : D0DF035A177178AD PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1931/3863/50207/543012649 : D0DF035A177178AD PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1931/3863/50207/543012649 : D0DF035A177178AD PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12