2 971 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
83033632783	11	36.3	old
81847800566632567	17	56.2	old
3533461167211922942417	22	71.6	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	17369 / 40830

Estimated T-Level: 52.1 ⓘ

TF below 2^168 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	A4E06B36CEE5E50B	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A4E06B36CEE5E50B	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A4E06B36CEE5E50B	3	101	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	015BD570B0031B91	3	1581	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	015BD570B0031B91	3	879	5	3

History

Date	User	Type	Result
2025-04-21	masser	NF-PP1	Start=179/31, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M2971/83033632783/81847800566632567/3533461167211922942417 : 015BD570B0031B91
2022-02-26	mikr	NF-PM1	B1=60000000000, B2=314806422904433460
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2971/83033632783/81847800566632567/3533461167211922942417 : 015BD570B0031B91
2017-12-07	ATH	C-PRP	M2971/83033632783/81847800566632567/3533461167211922942417 : A4E06B36CEE5E50B
2017-10-02	kkmrkkblmbrbk	C-PRP	M2971/83033632783/81847800566632567/3533461167211922942417 : A4E06B36CEE5E50B
2017-09-21	Oliver Kruse	C-PRP	M2971/known_factors : A4E06B36CEE5E50B
2009-03-02	kiwiboy	F-PM1	Factor: 293396117011265369539946032456511
2009-03-02	kiwiboy	F-PM1	Factor: 81847800566632567