101 347 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
9358067492151241	16	53.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	780 / 1566

Estimated T-Level: 32.5 ⓘ

TF below 2^103 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	73E81857A1AD7EA2	1	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	73E81857A1AD7EA2	1	80961	1	3
Verified	2020-04-17	Oliver Kruse	E7C9A43AA4EC604E	1	55181	5	3
Verified	2022-04-15	LordJulius	E7C9A43AA4EC604E	1	48952	5	3
Verified	2022-10-27	LordJulius	E7C9A43AA4EC604E	1	49331	5	3

History

Date	User	Type	Result
2022-10-27	LordJulius	C-PRP	M101347/9358067492151241 : E7C9A43AA4EC604E PRP: Verified PRP without proof (small exponent)
2022-04-15	LordJulius	C-PRP	M101347/9358067492151241 : E7C9A43AA4EC604E PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-19	Seth_Tr	NF-PM1	B1=1000000000, B2=6735532633830
2020-04-17	Oliver Kruse	C-PRP	M101347/9358067492151241 : E7C9A43AA4EC604E PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M101347/9358067492151241 : 73E81857A1AD7EA2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101347/9358067492151241 : 73E81857A1AD7EA2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101347/9358067492151241 : 73E81857A1AD7EA2 PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12