2 621 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
15727	5	13.9	old
12895321	8	23.6	old
13489674267041509343311	23	73.5	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	7255 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	1BCF7091F6646425	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	1BCF7091F6646425	3	2470	1	3
Verified	2020-04-17	Oliver Kruse	7186CDBF4EF5E441	3	970	5	3
Verified	2024-02-03	Wentao Huang	7186CDBF4EF5E441	3	2500	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2621/15727/12895321/13489674267041509343311 : 7186CDBF4EF5E441 PRP: Verified PRP without proof (small exponent)
2022-02-08	mikr	NF-PM1	B1=60000000000, B2=314766415184771550
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2621/15727/12895321/13489674267041509343311 : 7186CDBF4EF5E441 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2621/15727/12895321/13489674267041509343311 : 1BCF7091F6646425 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2621/15727/12895321/13489674267041509343311 : 1BCF7091F6646425 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2621/15727/12895321/13489674267041509343311 : 1BCF7091F6646425 PRP without proof (not generated)