8 963 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
663263	6	19.3	old
16101263151277304717416327321	29	93.7	old
12102907522238912136363264325152257671	38	123.2	2018-05-14 17:11:10
18283660912773792704559548042719483538879	41	133.7	2021-04-27 20:05:34

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	6914 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	B2BE2D8397C04F18	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	B2BE2D8397C04F18	2	5163	1	3
Verified (Factored)	2018-05-14	Hexaflexagon	B30A0979CDC63A17	3	266	5	3
Verified (Factored)	2018-05-15	Battlemaxx	B30A0979CDC63A17	3	2813	5	3
Verified	2021-04-27	mikr	B30A0979CDC63A17	4	3665	5	3
Verified	2021-04-29	_p95holder_	B30A0979CDC63A17	4	5031	5	3
Verified	2021-05-10	oodaira	B30A0979CDC63A17	4	4596	5	3

History

Date	User	Type	Result
2023-07-26	JacobZ	NF-PM1	B1=65000000000, B2=251099672798124150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-05-10	oodaira	C-PRP	M8963/663263/16101263151277304717416327321/12102907522238912136363264325152257671/18283660912773792704559548042719483538879 : B30A0979CDC63A17 PRP: Verified PRP without proof (small exponent)
2021-04-29	_p95holder_	C-PRP	M8963/663263/16101263151277304717416327321/12102907522238912136363264325152257671/18283660912773792704559548042719483538879 : B30A0979CDC63A17 PRP: Verified PRP without proof (small exponent)
2021-04-27	mikr	C-PRP	M8963/663263/16101263151277304717416327321/12102907522238912136363264325152257671/18283660912773792704559548042719483538879 : B30A0979CDC63A17 PRP: Verified PRP without proof (small exponent)
2021-04-27	Bruno Victal	F-ECM	Factor: 18283660912773792704559548042719483538879 / (ECM curve 48, B1=11000000, B2=30114149530, sigma=313493538415702)
2018-05-15	Battlemaxx	C-PRP	M8963/663263/16101263151277304717416327321/12102907522238912136363264325152257671 : B30A0979CDC63A17 PRP: Verified PRP without proof (small exponent)
2018-05-14	Hexaflexagon	C-PRP	M8963/663263/16101263151277304717416327321/12102907522238912136363264325152257671 : B30A0979CDC63A17 PRP: Verified PRP without proof (small exponent)
2018-05-14	Hexaflexagon	F-ECM	Factor: 12102907522238912136363264325152257671 / (ECM curve 94, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8963/663263/16101263151277304717416327321 : B2BE2D8397C04F18 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8963/663263/16101263151277304717416327321 : B2BE2D8397C04F18 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8963/663263/16101263151277304717416327321 : B2BE2D8397C04F18 PRP without proof (not generated)