4 723 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
2909369	7	21.5	old
26026208176993	14	44.6	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	16285 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	E48F7B9E461DC4CF	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E48F7B9E461DC4CF	2	1058	1	3
Verified	2020-04-17	Oliver Kruse	CF3CA40DE2B81EC1	2	1919	5	3
Verified	2024-02-03	Wentao Huang	CF3CA40DE2B81EC1	2	157	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4723/2909369/26026208176993 : CF3CA40DE2B81EC1 PRP: Verified PRP without proof (small exponent)
2023-05-28	-Anonymous-	NF-PM1	B1=67000000000, B2=672059035159211700
2020-04-17	Oliver Kruse	C-PRP	M4723/2909369/26026208176993 : CF3CA40DE2B81EC1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4723/2909369/26026208176993 : E48F7B9E461DC4CF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4723/2909369/26026208176993 : E48F7B9E461DC4CF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4723/2909369/26026208176993 : E48F7B9E461DC4CF PRP without proof (not generated)