78 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4532063	7	22.1	old
81778961539241	14	46.2	2008-08-26 20:11:12
5148485920923362108657013255247997784187597969	46	151.9	2017-02-26 01:08:59

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	860 / 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	A053F45F50E90E0A	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A053F45F50E90E0A	3	0	1	3
Verified	2017-12-07	ATH	A053F45F50E90E0A	3	17952	1	3
Verified	2020-04-17	Oliver Kruse	E37531998C60B672	3	36752	5	3
Verified	2024-02-03	Wentao Huang	E37531998C60B672	3	61194	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-26	5148485920923362108657013255247997784187597969	100000000	12720901946406

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M78139/4532063/81778961539241/5148485920923362108657013255247997784187597969 : E37531998C60B672 PRP: Verified PRP without proof (small exponent)
2024-01-23	masser	NF-PP1	Start=2/7, B1=25000000, B2=1475000000
2022-02-04	George Woltman	NF-PM1	B1=1000000000, B2=152660105147550
2020-04-17	Oliver Kruse	C-PRP	M78139/4532063/81778961539241/5148485920923362108657013255247997784187597969 : E37531998C60B672 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M78139/4532063/81778961539241/5148485920923362108657013255247997784187597969 : A053F45F50E90E0A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M78139/4532063/81778961539241/5148485920923362108657013255247997784187597969 : A053F45F50E90E0A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M78139/known_factors : A053F45F50E90E0A PRP without proof (not generated)
2017-02-26	kkmrkkblmbrbk	F-PM1	Factor: 5148485920923362108657013255247997784187597969 / (P-1, B1=100000000, B2=12720901946406)
2016-12-19	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 81778961539241