2 063 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
4127	4	12.0	old
53639	5	15.7	old
165041	6	17.3	old
8271280799	10	32.9	old
375823313337047	15	48.4	old
25650623334070589492489	23	74.4	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	63271 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	2AB81782D09BC873	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2AB81782D09BC873	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	2AB81782D09BC873	6	1375	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	952E018928D83190	6	1694	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	952E018928D83190	1	1565	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	952E018928D83190	6	485	5	3

History

Date	User	Type	Result
2025-03-29	masser	NF-PP1	Start=96/29, B1=12500000000, B2=12487500000000
2024-04-16	masser	NF-PM1	B1=100000000000, B2=281552460585095700
2024-02-03	Wentao Huang	C-PRP	M2063/4127/53639/165041/8271280799/375823313337047/25650623334070589492489 : 952E018928D83190
2022-05-12	Jorge Coveiro	C-PRP	M2063/4127 : 952E018928D83190
2020-04-17	Oliver Kruse	C-PRP	M2063/4127/53639/165041/8271280799/375823313337047/25650623334070589492489 : 952E018928D83190
2017-12-07	ATH	C-PRP	M2063/4127/53639/165041/8271280799/375823313337047/25650623334070589492489 : 2AB81782D09BC873
2017-10-02	kkmrkkblmbrbk	C-PRP	M2063/4127/53639/165041/8271280799/375823313337047/25650623334070589492489 : 2AB81782D09BC873
2017-09-21	Oliver Kruse	C-PRP	M2063/known_factors : 2AB81782D09BC873
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F	Factor: 302189766238424229519127