101 963 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
78055879157831	14	46.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	861 / 1566

Estimated T-Level: 32.7 ⓘ

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	8896F4C28ABA907C	1	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	8896F4C28ABA907C	1	82415	1	3
Verified	2020-04-17	Oliver Kruse	1C161B3E38859887	1	67224	5	3
Verified	2022-04-15	LordJulius	1C161B3E38859887	1	3474	5	3

History

Date	User	Type	Result
2025-04-07	yuriy_5-1	NF-PM1	B1=4800000000, B2=4803557477939220
2022-04-15	LordJulius	C-PRP	M101963/78055879157831 : 1C161B3E38859887 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
2020-04-17	Oliver Kruse	C-PRP	M101963/78055879157831 : 1C161B3E38859887 PRP: Verified PRP without proof (small exponent)
2018-11-02	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-02	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-02	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M101963/78055879157831 : 8896F4C28ABA907C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101963/78055879157831 : 8896F4C28ABA907C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101963/78055879157831 : 8896F4C28ABA907C PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12