3 257 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
97711	5	16.6	old
4032167	7	21.9	old
94839144656689	14	46.4	old
1304061792660564229707314847679997766483088357312751	52	169.8	2018-04-08 21:07:46

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	15344 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	02B8FFEFE4050A85	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	02B8FFEFE4050A85	3	1923	1	3
Verified (Factored)	2018-04-09	BloodIce	9305D9F893ED3F80	1	0	1	3
Verified	2018-04-11	Oliver Kruse	52AE55EF5DCB516C	4	943	5	3
Verified	2018-04-11	kkmrkkblmbrbk	52AE55EF5DCB516C	4	23	5	3
Verified	2020-04-17	Oliver Kruse	52AE55EF5DCB516C	4	1402	5	3

History

Date	User	Type	Result
2022-04-18	mikr	NF-PM1	B1=70000000000, B2=367060468435110450
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3257/97711/4032167/94839144656689/1304061792660564229707314847679997766483088357312751 : 52AE55EF5DCB516C PRP: Verified PRP without proof (small exponent)
2018-04-11	kkmrkkblmbrbk	C-PRP	M3257/97711/4032167/94839144656689/1304061792660564229707314847679997766483088357312751 : 52AE55EF5DCB516C PRP: Verified PRP without proof (small exponent)
2018-04-11	Oliver Kruse	C-PRP	M3257/97711/4032167/94839144656689/1304061792660564229707314847679997766483088357312751 : 52AE55EF5DCB516C PRP: Verified PRP without proof (small exponent)
2018-04-09	BloodIce	C-PRP	M3257/known_factors : 9305D9F893ED3F80 PRP: Verified PRP without proof (not generated)
2018-04-08	BloodIce	F-ECM	Factor: 1304061792660564229707314847679997766483088357312751 / (ECM curve 475, B1=44000000, B2=4400000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3257/97711/4032167/94839144656689 : 02B8FFEFE4050A85 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3257/97711/4032167/94839144656689 : 02B8FFEFE4050A85 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3257/97711/4032167/94839144656689 : 02B8FFEFE4050A85 PRP without proof (not generated)