4 621 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
110051730487	12	36.7	old
239456216180761	15	47.8	old
129480173234395841927	21	66.8	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	14748 / 40830

Estimated T-Level: 51.8 ⓘ

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	C71181059DF0D9B9	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	C71181059DF0D9B9	3	0	1	3
Verified	2017-12-07	ATH	C71181059DF0D9B9	3	3435	1	3
Verified	2020-04-17	Oliver Kruse	798EF38E7E11DEB3	3	1117	5	3
Verified	2024-02-03	Wentao Huang	798EF38E7E11DEB3	3	1861	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4621/110051730487/239456216180761/129480173234395841927 : 798EF38E7E11DEB3 PRP: Verified PRP without proof (small exponent)
2023-05-26	-Anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4621/110051730487/239456216180761/129480173234395841927 : 798EF38E7E11DEB3 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4621/110051730487/239456216180761/129480173234395841927 : C71181059DF0D9B9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4621/110051730487/239456216180761/129480173234395841927 : C71181059DF0D9B9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4621/known_factors : C71181059DF0D9B9 PRP without proof (not generated)