2 027 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
5405684681	10	32.3	old
1895517123264185973281	22	70.7	old
147630066980845001082205680679687	33	106.9	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	40830 / 40830
60	260000000	64052 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	51801F5848E9B404	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	51801F5848E9B404	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	51801F5848E9B404	3	405	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A2433B4F50769068	3	428	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	A2433B4F50769068	3	115	5	3

History

Date	User	Type	Result
2025-03-29	masser	NF-PP1	Start=175/31, B1=12500000000, B2=12487500000000
2024-04-13	masser	NF-PM1	B1=100000000000, B2=287371267999765950
2021-08-07	Jinyuan Wang	NF-PM1	B1=650000000
2020-08-12	_p95holder_	C-PRP	M2027/5405684681/1895517123264185973281/147630066980845001082205680679687 : A2433B4F50769068
2020-04-17	Oliver Kruse	C-PRP	M2027/5405684681/1895517123264185973281/147630066980845001082205680679687 : A2433B4F50769068
2017-12-07	ATH	C-PRP	M2027/5405684681/1895517123264185973281/147630066980845001082205680679687 : 51801F5848E9B404
2017-10-02	kkmrkkblmbrbk	C-PRP	M2027/5405684681/1895517123264185973281/147630066980845001082205680679687 : 51801F5848E9B404
2017-09-21	Oliver Kruse	C-PRP	M2027/known_factors : 51801F5848E9B404
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12