4 967 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
327823	6	18.3	old
39928368129823086660569	23	75.1	old
4547691789065121368210634276564841469369	40	131.7	2020-09-14 05:41:57

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	16009 / 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 (Factored)	2017-09-21	Oliver Kruse	40C8C17B876F3286	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	40C8C17B876F3286	2	4115	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D821753292511CE0	2	4458	5	3
Verified	2020-09-14	M Miller	D821753292511CE0	3	907	5	3
Verified	2020-09-14	atrench	D821753292511CE0	3	4353	5	3

History

Date	User	Type	Result
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
2020-09-14	atrench	C-PRP	M4967/327823/39928368129823086660569/4547691789065121368210634276564841469369 : D821753292511CE0 PRP: Verified PRP without proof (small exponent)
2020-09-14	M Miller	C-PRP	M4967/327823/39928368129823086660569/4547691789065121368210634276564841469369 : D821753292511CE0 PRP: Verified PRP without proof (small exponent)
2020-09-14	Alex Kruppa	F-ECM	Factor: 4547691789065121368210634276564841469369 / (ECM curve 42, B1=11000000, B2=1100000000, Sigma=8654980198232701)
2020-04-17	Oliver Kruse	C-PRP	M4967/327823/39928368129823086660569 : D821753292511CE0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4967/327823/39928368129823086660569 : 40C8C17B876F3286 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4967/327823/39928368129823086660569 : 40C8C17B876F3286 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4967/327823/39928368129823086660569 : 40C8C17B876F3286 PRP without proof (not generated)