4 951 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
243284941247	12	37.8	old
114893515044888521	18	56.7	old
2154217482748374217	19	60.9	old
1632808377858404957602012078033217519	37	120.3	2015-11-06 06:22:58

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	15633 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	1E4EF386A7F474AC	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	1E4EF386A7F474AC	4	0	1	3
Verified	2017-12-07	ATH	1E4EF386A7F474AC	4	1541	1	3
Verified	2020-04-17	Oliver Kruse	875002833D619381	4	2528	5	3
Verified	2024-02-03	Wentao Huang	875002833D619381	4	3279	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4951/243284941247/114893515044888521/2154217482748374217/1632808377858404957602012078033217519 : 875002833D619381 PRP: Verified PRP without proof (small exponent)
2023-05-31	-Anonymous-	NF-PM1	B1=64000000000, B2=642189744639793350
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-14	Lisander Viaene	NF-PM1	B1=101101101, B2=242002648447560
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=58539200499780
2020-04-17	Oliver Kruse	C-PRP	M4951/243284941247/114893515044888521/2154217482748374217/1632808377858404957602012078033217519 : 875002833D619381 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4951/243284941247/114893515044888521/2154217482748374217/1632808377858404957602012078033217519 : 1E4EF386A7F474AC PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4951/243284941247/114893515044888521/2154217482748374217/1632808377858404957602012078033217519 : 1E4EF386A7F474AC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4951/known_factors : 1E4EF386A7F474AC PRP without proof (not generated)
2015-11-06	Bo-Kaj	F-ECM	Factor: 1632808377858404957602012078033217519 / (ECM curve 410, B1=11000000, B2=1100000000)