1 621 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
649412561933038085071	21	69.1	old
4265037104491418480737209223	28	91.8	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	40830 / 40830
60	260000000	105362 / 105362
65	800000000	158443 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 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	F34360E03BBF411A	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F34360E03BBF411A	2	0	1	3
Verified	2017-12-07	ATH	F34360E03BBF411A	2	1431	1	3
Verified	2020-04-17	Oliver Kruse	76CF5FDE95439A02	2	560	5	3
Verified	2020-08-12	_p95holder_	76CF5FDE95439A02	2	94	5	3

History

Date	User	Type	Result
2022-08-03	mikr	NF-PM1	B1=400000000000, B2=1638694652885390100
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1621/649412561933038085071/4265037104491418480737209223 : 76CF5FDE95439A02 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1621/649412561933038085071/4265037104491418480737209223 : 76CF5FDE95439A02 PRP: Verified PRP without proof (small exponent)
2018-12-10	Joss	NF-PM1	B1=14000000000, B2=2000000000000, E=12
2018-12-09	Joss	NF-PM1	B1=14000000000, B2=1600000000000, E=12
2018-12-09	Joss	NF-PM1	B1=14000000000, B2=1400000000000, E=12
2017-12-07	ATH	C-PRP	M1621/649412561933038085071/4265037104491418480737209223 : F34360E03BBF411A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1621/649412561933038085071/4265037104491418480737209223 : F34360E03BBF411A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1621/known_factors : F34360E03BBF411A PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12