1 613 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
165545417	9	27.3	old
14289797186510260285068439	26	83.6	old
119549552138019464176947313	27	86.6	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	40830 / 40830
60	260000000	105362 / 105362
65	800000000	157844 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 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	E9E08ECDAB2257A9	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E9E08ECDAB2257A9	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E9E08ECDAB2257A9	3	1490	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C5C30D2036FC4AC7	3	779	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	C5C30D2036FC4AC7	3	278	5	3

History

Date	User	Type	Result
2022-07-30	mikr	NF-PM1	B1=400000000000, B2=1638694652885390100
2022-01-29	Ethan O'Connor	NF-PM1	B1=12000000000, B2=420469999479219690
2022-01-26	Ethan O'Connor	NF-PM1	B1=10000000000
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-12-09	Ruslan Borisov	NF	no factor TF: 54-55
2020-12-09	Ruslan Borisov	NF	no factor TF: 53-54
2020-12-09	Ruslan Borisov	NF	no factor TF: 52-53
2020-12-09	Ruslan Borisov	NF	no factor TF: 51-52
2020-12-09	Ruslan Borisov	NF	no factor TF: 28-51
2020-08-12	_p95holder_	C-PRP	M1613/165545417/14289797186510260285068439/119549552138019464176947313 : C5C30D2036FC4AC7
2020-04-17	Oliver Kruse	C-PRP	M1613/165545417/14289797186510260285068439/119549552138019464176947313 : C5C30D2036FC4AC7
2017-12-07	ATH	C-PRP	M1613/165545417/14289797186510260285068439/119549552138019464176947313 : E9E08ECDAB2257A9
2017-10-02	kkmrkkblmbrbk	C-PRP	M1613/165545417/14289797186510260285068439/119549552138019464176947313 : E9E08ECDAB2257A9
2017-09-21	Oliver Kruse	C-PRP	M1613/known_factors : E9E08ECDAB2257A9
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12