2 693 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
34544701071079	14	45.0	old
870270725149352109367	21	69.6	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	6842 / 40830

Estimated T-Level: 50.8 ⓘ

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	5188EE7B7D0E3528	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	5188EE7B7D0E3528	2	1685	1	3
Verified	2020-04-17	Oliver Kruse	DA14D7B570A1DC01	2	2183	5	3
Verified	2024-02-03	Wentao Huang	DA14D7B570A1DC01	2	2339	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2693/34544701071079/870270725149352109367 : DA14D7B570A1DC01 PRP: Verified PRP without proof (small exponent)
2022-02-21	mikr	NF-PM1	B1=60000000000, B2=314866788023077290
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2693/34544701071079/870270725149352109367 : DA14D7B570A1DC01 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2693/34544701071079/870270725149352109367 : 5188EE7B7D0E3528 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2693/34544701071079/870270725149352109367 : 5188EE7B7D0E3528 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2693/34544701071079/870270725149352109367 : 5188EE7B7D0E3528 PRP without proof (not generated)