2 609 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
36527	5	15.2	old
7404343	7	22.8	old
18227204521	11	34.1	old
2835015782843620889164140409993	31	101.2	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	9359 / 40830

Estimated T-Level: 51.1 ⓘ

TF below 2^165 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	2CF064F40A07D0D4	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2CF064F40A07D0D4	4	0	1	3
Verified	2017-12-07	ATH	2CF064F40A07D0D4	4	451	1	3
Verified	2020-04-17	Oliver Kruse	C73D32E1AD834FC4	4	2340	5	3
Verified	2024-02-03	Wentao Huang	C73D32E1AD834FC4	4	596	5	3

History

Date	User	Type	Result
2024-05-28	masser	NF-PM1	B1=100000000000, B2=126882090315080100
2024-02-03	Wentao Huang	C-PRP	M2609/36527/7404343/18227204521/2835015782843620889164140409993 : C73D32E1AD834FC4 PRP: Verified PRP without proof (small exponent)
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2609/36527/7404343/18227204521/2835015782843620889164140409993 : C73D32E1AD834FC4 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2609/36527/7404343/18227204521/2835015782843620889164140409993 : 2CF064F40A07D0D4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2609/36527/7404343/18227204521/2835015782843620889164140409993 : 2CF064F40A07D0D4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2609/known_factors : 2CF064F40A07D0D4 PRP without proof (not generated)