100 271 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8021681	7	22.9	old
6951440289089	13	42.7	2008-07-26 09:16:54
3661741939738607	16	51.7	2010-01-24 17:03:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	872 / 1566

Estimated T-Level: 32.8 ⓘ

TF below 2^104 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	2017-09-21	Oliver Kruse	C12B664AA29CB718	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	C12B664AA29CB718	3	2857	1	3
Verified	2020-04-17	Oliver Kruse	5571F940BD2EF9B9	3	95540	5	3
Verified	2024-02-03	Wentao Huang	5571F940BD2EF9B9	3	26308	5	3

History

Date	User	Type	Result
2025-06-04	masser	NF-PM1	B1=420000000, B2=36196316926770
2024-08-23	cramsey87	NF-PM1	B1=20000000, B2=23173766766150
2024-02-03	Wentao Huang	C-PRP	M100271/8021681/6951440289089/3661741939738607 : 5571F940BD2EF9B9 PRP: Verified PRP without proof (small exponent)
2022-10-12	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-12	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-12	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-09	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-09	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-09	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-09	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-09	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-09	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-09	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M100271/8021681/6951440289089/3661741939738607 : 5571F940BD2EF9B9 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	M100271/8021681/6951440289089/3661741939738607 : C12B664AA29CB718 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100271/8021681/6951440289089/3661741939738607 : C12B664AA29CB718 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100271/8021681/6951440289089/3661741939738607 : C12B664AA29CB718 PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-01-24	Rob_Dee	F-ECM	Factor: 3661741939738607
2008-07-26	J Feitsma	F	Factor: 6951440289089

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