1 733 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
29042669704339553664002303	26	84.6	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	67647 / 194238

Estimated T-Level: 61.7 ⓘ

TF below 2^200 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	0CAC83B89C1BA1BE	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	0CAC83B89C1BA1BE	1	1137	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	0CAC83B89C1BA1BE	1	646	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	32F5753AA3AB561A	1	1589	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	32F5753AA3AB561A	1	943	5	3

History

Date	User	Type	Result
2022-09-04	mikr	NF-PM1	B1=500000000000, B2=1966167047999184030
2021-07-23	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1733/29042669704339553664002303 : 32F5753AA3AB561A
2020-04-17	Oliver Kruse	C-PRP	M1733/29042669704339553664002303 : 32F5753AA3AB561A
2017-12-07	ATH	C-PRP	M1733/29042669704339553664002303 : 0CAC83B89C1BA1BE
2017-10-12	kkmrkkblmbrbk	C-PRP	M1733/29042669704339553664002303 : 0CAC83B89C1BA1BE
2017-09-21	Oliver Kruse	C-PRP	M1733/29042669704339553664002303 : 0CAC83B89C1BA1BE
2017-09-21	Oliver Kruse	C-PRP	M1733/29042669704339553664002303 : 0CAC83B89C1BA1BE
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12