101 027 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
969253039	9	29.9	old
716140752533361425229261778303	30	99.2	2021-12-17 21:30:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	271 / 1566

Estimated T-Level: 30.9 ⓘ

TF below 2^98 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	EA442566DBF203F2	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	EA442566DBF203F2	1	87441	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	508B174D3FE0D833	1	23558	5	3
Verified	2021-12-17	SRJ2877	508B174D3FE0D833	2	47752	5	3
Verified	2022-04-15	LordJulius	508B174D3FE0D833	2	1593	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-17	716140752533361425229261778303	1000000000	6548112641070

History

Date	User	Type	Result
2022-11-07	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-07	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-07	LordJulius	NF	no factor from 2^64 to 2^65
2022-11-07	LordJulius	NF	no factor from 2^63 to 2^64
2022-11-07	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M101027/969253039/716140752533361425229261778303 : 508B174D3FE0D833 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	SRJ2877	C-PRP	M101027/969253039/716140752533361425229261778303 : 508B174D3FE0D833 PRP: Verified PRP without proof (small exponent)
2021-12-17	Seth_Tr	F-PM1	Factor: 716140752533361425229261778303 / (P-1, B1=1000000000, B2=6548112641070)
2020-04-17	Oliver Kruse	C-PRP	M101027/969253039 : 508B174D3FE0D833 PRP: Verified PRP without proof (small exponent)
2018-10-21	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-10-21	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-10-21	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-21	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M101027/969253039 : EA442566DBF203F2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101027/969253039 : EA442566DBF203F2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101027/969253039 : EA442566DBF203F2 PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12

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