10 947 199 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
5692543481	10	32.4	old
28637193857663	14	44.7	2008-09-08 06:45:31
3554751984363996526475375489	28	91.5	2021-03-30 23:02:10

ECM

Digits	B1	Curves
25	50000	32 / 280

Estimated T-Level: 20.6 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2021-03-30	riccardo uberti	0432CA49BCD59EF7	2	9516964	5	3
Verified	2021-04-01	ee33t1	0432CA49BCD59EF7	3	10239170	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-30	3554751984363996526475375489	500000	15000000

History

Date	User	Type	Result
2021-06-11	riccardo uberti	NF-PP1	Start=2/7, B1=750000, B2=20000000
2021-05-28	riccardo uberti	NF-PP1	Start=6/5, B1=750000, B2=20000000
2021-04-01	Derek	CERT	PRP Certification Proof certified good
2021-04-01	ee33t1	C-PRP	M10947199/5692543481/28637193857663/3554751984363996526475375489 : 0432CA49BCD59EF7 PRP proof power = 8 PRP: Verified Proof certified good
2021-03-31	riccardo uberti	NF-PM1	B1=1000000, B2=30000000, E=12
2021-03-30	riccardo uberti	F-PM1	Factor: 3554751984363996526475375489 / (P-1, B1=500000, B2=15000000, E=12)
2021-03-30	Ben Delo	CERT	PRP Certification Proof certified good
2021-03-30	riccardo uberti	C-PRP	M10947199/5692543481/28637193857663 : 0432CA49BCD59EF7 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2008-09-08	Will Edgington	F	Factor: 28637193857663