100 693 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
44278135663	11	35.4	old
2617446500524576007337317751391	31	101.0	2024-05-31 18:54:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	786 / 1566

Estimated T-Level: 32.5 ⓘ

TF below 2^103 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	68093A804810655B	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	68093A804810655B	1	46768	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1E375C01200F02E5	1	23874	5	3
Verified (Factored)	2022-04-15	LordJulius	1E375C01200F02E5	1	76818	5	3
Verified	2024-05-31	USAFSS	1E375C01200F02E5	2	49045	5	3

History

Date	User	Type	Result
2024-05-31	USAFSS	C-PRP	M100693/44278135663/2617446500524576007337317751391 : 1E375C01200F02E5 PRP: Verified PRP without proof (small exponent)
2024-05-31	USAFSS	F-ECM	Factor: 2617446500524576007337317751391 / (ECM curve 8, B1=1247252, B2=2366257530, Edwards Sigma=1140587328782663)
2022-10-24	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-24	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-24	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-24	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-24	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M100693/44278135663 : 1E375C01200F02E5 PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-17	Seth_Tr	NF-PM1	B1=1000000000, B2=6543914477100
2020-04-17	Oliver Kruse	C-PRP	M100693/44278135663 : 1E375C01200F02E5 PRP: Verified PRP without proof (small exponent)
2018-11-01	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-01	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-01	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M100693/44278135663 : 68093A804810655B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100693/44278135663 : 68093A804810655B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100693/44278135663 : 68093A804810655B PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12

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