103 801 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
78608704903	11	36.2	old
10507456462708303751	20	63.2	2010-02-18 00:06:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	885 / 1566

Estimated T-Level: 32.8 ⓘ

TF below 2^104 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	418749B808E8E85A	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	418749B808E8E85A	2	40800	1	3
Verified	2020-04-17	Oliver Kruse	6E6D2546810B58EB	2	90556	5	3
Verified	2022-04-15	LordJulius	6E6D2546810B58EB	2	24053	5	3

History

Date	User	Type	Result
2025-06-02	yuriy_5-1	NF-PM1	B1=4800000000, B2=5418154056465150
2022-04-15	LordJulius	C-PRP	M103801/78608704903/10507456462708303751 : 6E6D2546810B58EB PRP: Verified PRP without proof (small exponent)
2022-04-14	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-14	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-14	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-14	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-14	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M103801/78608704903/10507456462708303751 : 6E6D2546810B58EB PRP: Verified PRP without proof (small exponent)
2018-11-05	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-05	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-05	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-11-05	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M103801/78608704903/10507456462708303751 : 418749B808E8E85A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M103801/78608704903/10507456462708303751 : 418749B808E8E85A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M103801/78608704903/10507456462708303751 : 418749B808E8E85A PRP without proof (not generated)
2016-11-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-18	Rob_Dee	F-ECM	Factor: 10507456462708303751