3 583 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
3305857393607	13	41.6	old
7031928783569	13	42.7	old
1034128732746609919900875125914028569751927	43	139.6	2018-10-22 22:28:35

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	2425 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	BB6833B1ABA1F26C	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	BB6833B1ABA1F26C	2	1446	1	3
Verified	2018-10-22	rucio	8360BD579899B757	3	1206	5	3
Verified	2018-10-24	Oliver Kruse	8360BD579899B757	3	2064	5	3
Verified	2020-04-17	Oliver Kruse	8360BD579899B757	3	1519	5	3

History

Date	User	Type	Result
2022-06-22	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3583/3305857393607/7031928783569/1034128732746609919900875125914028569751927 : 8360BD579899B757 PRP: Verified PRP without proof (small exponent)
2018-10-24	Oliver Kruse	C-PRP	M3583/3305857393607/7031928783569/1034128732746609919900875125914028569751927 : 8360BD579899B757 PRP: Verified PRP without proof (small exponent)
2018-10-22	rucio	C-PRP	M3583/3305857393607/7031928783569/1034128732746609919900875125914028569751927 : 8360BD579899B757 PRP: Verified PRP without proof (small exponent)
2018-10-22	eteo	F-ECM	Factor: 1034128732746609919900875125914028569751927 / (ECM curve 713, B1=11000000, B2=1100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3583/3305857393607/7031928783569 : BB6833B1ABA1F26C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3583/3305857393607/7031928783569 : BB6833B1ABA1F26C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3583/3305857393607/7031928783569 : BB6833B1ABA1F26C PRP without proof (not generated)