4 936 241 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
1421637409	10	30.4	old
27707515632281	14	44.7	2008-09-30 21:36:41
15547279813180447823	20	63.8	2017-05-02 11:22:14
42069149100364801969	20	65.2	2018-07-18 10:18:31

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-28	alpertron	259582B72973DEBE	3	0	1	3
Verified (Factored)	2018-01-09	kkmrkkblmbrbk	259582B72973DEBE	3	2996713	1	3
Verified	2018-07-24	_p95holder_	C7888D9A5418EC58	4	99325	5	3
Verified	2018-07-25	kkmrkkblmbrbk	C7888D9A5418EC58	4	1124624	5	3

History

Date	User	Type	Result
2023-07-12	Stef42	NF-PM1	B1=10000000, B2=69324929310
2023-07-06	Stef42	NF-PM1	B1=10000000
2022-06-21	LordJulius	NF	no factor from 2^64 to 2^65
2018-07-25	kkmrkkblmbrbk	C-PRP	M4936241/1421637409/27707515632281/15547279813180447823/42069149100364801969 : C7888D9A5418EC58 PRP: Verified PRP without proof (not generated)
2018-07-24	_p95holder_	C-PRP	M4936241/1421637409/27707515632281/15547279813180447823/42069149100364801969 : C7888D9A5418EC58 PRP: Verified PRP without proof (not generated)
2018-07-18	TJAOI	F	Factor: 42069149100364801969 / TF: 65-66
2018-01-09	kkmrkkblmbrbk	C-PRP	M4936241/1421637409/27707515632281/15547279813180447823 : 259582B72973DEBE PRP: Verified PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M4936241/1421637409/15547279813180447823/27707515632281 : 259582B72973DEBE PRP: Verified PRP without proof (not generated)
2017-05-02	TJAOI	F	Factor: 15547279813180447823 / TF: 63-64
2008-09-30	markr	F	Factor: 27707515632281