4 591 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
622304041006452740824160434864315474346236458056663	51	168.7	2018-12-13 07:52:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	32142 / 40830

Estimated T-Level: 53.9 ⓘ

TF below 2^174 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	4EA3	0
Verified (Factored)		George Woltman	4DF7B43264724EA3	0
Verified (Factored)		Brian J. Beesley	4DF7B43264724EA3	0
Verified (Factored)	2015-04-11	MadPoo	4DF7B43264724EA3	2496

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2018-12-13	Anton Repko	7BF6B168FBCCDE42	1	2678	5	3
Verified	2018-12-14	kkmrkkblmbrbk	7BF6B168FBCCDE42	1	3103	5	3
Verified	2020-04-17	Oliver Kruse	7BF6B168FBCCDE42	1	2051	5	3

History

Date	User	Type	Result
2023-05-25	-Anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2020-04-17	Oliver Kruse	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 PRP: Verified PRP without proof (small exponent)
2018-12-14	kkmrkkblmbrbk	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 PRP: Verified PRP without proof (small exponent)
2018-12-13	Anton Repko	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 PRP: Verified PRP without proof (small exponent)
2018-12-13	Anton Repko	F-ECM	Factor: 622304041006452740824160434864315474346236458056663 / (ECM curve 898, B1=110000000, B2=900514153782)
2018-07-13	snme2pm1	NF	no factor from 2^63 to 2^64
2016-12-02	snme2pm1	NF	no factor from 2^62 to 2^63
2016-11-24	-Anonymous-	NF-PM1	B1=100000000000, B2=1000000000000, E=12
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-06-21	mikr	NF-PM1	B1=30000000000, B2=2400000000000, E=12
2015-06-19	Sid & Andy	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	4DF7B43264724EA3
2015-02-12	Jayder	NF-PM1	B1=2560040779, B2=163842609831, E=12
2012-09-29	bcp19	NF	no factor from 2^60 to 2^61
2011-05-04	Joss	NF-PM1	B1=10000000000
2011-01-27	monst	NF	no factor from 2^58 to 2^60