4 201 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3612691961	10	31.8	old
103434022487	12	36.6	old
40354744626381113	17	55.2	old
1521415322995233740458727656132755311	37	120.2	2010-08-19 09:48:36

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	19183 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	77036ECE526E1274	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	77036ECE526E1274	4	0	1	3
Verified	2017-12-07	ATH	77036ECE526E1274	4	3713	1	3
Verified	2020-04-17	Oliver Kruse	4082D52843F8F7CB	4	2568	5	3
Verified	2024-02-03	Wentao Huang	4082D52843F8F7CB	4	3191	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4201/3612691961/103434022487/40354744626381113/1521415322995233740458727656132755311 : 4082D52843F8F7CB PRP: Verified PRP without proof (small exponent)
2023-05-18	-Anonymous-	NF-PM1	B1=77000000000, B2=771645928060297290
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1004648912737470
2021-12-14	Lisander Viaene	NF-PM1	B1=101101101, B2=239432550687330
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=22557075791250
2020-04-17	Oliver Kruse	C-PRP	M4201/3612691961/103434022487/40354744626381113/1521415322995233740458727656132755311 : 4082D52843F8F7CB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4201/3612691961/103434022487/40354744626381113/1521415322995233740458727656132755311 : 77036ECE526E1274 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4201/3612691961/103434022487/40354744626381113/1521415322995233740458727656132755311 : 77036ECE526E1274 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4201/known_factors : 77036ECE526E1274 PRP without proof (not generated)
2010-08-19	James Hintz	F-ECM	Factor: 1521415322995233740458727656132755311