292 627 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
913653047154041	15	49.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	192 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	895FA9015B787EAE	1	0	1	3
Verified	2017-10-12	Oliver Kruse	895FA9015B787EAE	1	75852	1	3
Verified	2017-11-06	kkmrkkblmbrbk	895FA9015B787EAE	1	234692	1	3
Verified	2020-04-17	Oliver Kruse	5D09A9C0E97E71C9	1	188405	5	3
Verified	2024-08-17	kkmrkkblmbrbk	5D09A9C0E97E71C9	1	235399	5	3

History

Date	User	Type	Result
2024-11-21	yuriy_5-1	NF-PM1	B1=26921684, B2=6584886237930
2024-08-17	LOBES	CERT	PRP Certification Proof certified good
2024-08-17	kkmrkkblmbrbk	C-PRP	M292627/913653047154041 : 5D09A9C0E97E71C9 PRP proof power = 5 PRP: Verified Proof certified good
2023-12-10	USAFSS	NF-PM1	B1=1875000, B2=9720438000
2022-06-20	some-students	NF-PM1	B1=1000000, B2=51000000
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M292627/913653047154041 : 5D09A9C0E97E71C9 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M292627/913653047154041 : 895FA9015B787EAE PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M292627/913653047154041 : 895FA9015B787EAE PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M292627/913653047154041 : 895FA9015B787EAE PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M292627/913653047154041 : 895FA9015B787EAE PRP without proof (not generated)