4 153 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
91367	5	16.5	old
886989998809	12	39.7	old

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	19261 / 40830

Estimated T-Level: 52.4 ⓘ

TF below 2^169 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	C71A252B99D78759	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	C71A252B99D78759	2	984	1	3
Verified	2020-04-17	Oliver Kruse	828BFC55256D9E22	2	2425	5	3
Verified	2024-02-03	Wentao Huang	828BFC55256D9E22	2	2268	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4153/91367/886989998809 : 828BFC55256D9E22 PRP: Verified PRP without proof (small exponent)
2023-05-17	-Anonymous-	NF-PM1	B1=78000000000, B2=782159992887753480
2020-04-17	Oliver Kruse	C-PRP	M4153/91367/886989998809 : 828BFC55256D9E22 PRP: Verified PRP without proof (small exponent)
2019-02-16	Joss	NF-PM1	B1=100000000000
2019-02-11	Joss	NF-PM1	B1=20000000000
2019-02-11	Joss	NF-PM1	B1=10000000000
2019-02-10	Joss	NF-PM1	B1=1000000000
2017-10-12	kkmrkkblmbrbk	C-PRP	M4153/91367/886989998809 : C71A252B99D78759 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4153/91367/886989998809 : C71A252B99D78759 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4153/91367/886989998809 : C71A252B99D78759 PRP without proof (not generated)