216 157 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
6484711	7	22.6	old
1901463526447	13	40.8	2008-07-21 09:14:08
1882863828766458049	19	60.7	2014-07-28 14:55:54
30076984569942601653919	23	74.7	2016-02-12 13:31:14
9141254014473104619195181329377	31	102.9	2020-01-27 07:58:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	540 / 640

Estimated T-Level: 29.2 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	B15A9799E692880A	4	0	1	3
Verified (Factored)	2017-09-30	alpertron	B15A9799E692880A	4	0	1	3
Verified (Factored)	2017-12-07	ATH	B15A9799E692880A	4	141337	1	3
Verified	2020-01-27	ATH	7A201EF133C014E3	5	44118	5	3
Verified	2020-01-27	nordi	7A201EF133C014E3	5	9134	5	3
Verified	2023-08-03	USAFSS	7A201EF133C014E3	5	28627	5	3

History

Date	User	Type	Result
2023-08-03	PrairiePrime	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M216157/6484711/1901463526447/1882863828766458049/30076984569942601653919/9141254014473104619195181329377 : 7A201EF133C014E3 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-27	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-04	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-05-08	Dylan Delgado	NF-PP1	Start=2/7, B1=15000000, B2=1665000000
2021-05-04	Dylan Delgado	NF-PM1	B1=15000000, B2=1665000000
2021-05-01	Dylan Delgado	NF-PM1	B1=8296000, B2=837896000
2020-01-27	nordi	C-PRP	M216157/6484711/1901463526447/1882863828766458049/30076984569942601653919/9141254014473104619195181329377 : 7A201EF133C014E3 PRP: Verified PRP without proof (small exponent)
2020-01-27	ATH	C-PRP	M216157/6484711/1901463526447/1882863828766458049/30076984569942601653919/9141254014473104619195181329377 : 7A201EF133C014E3 PRP: Verified PRP without proof (small exponent)
2020-01-27	nordi	F-ECM	Factor: 9141254014473104619195181329377 / (ECM curve 15, B1=250000, B2=25000000, Sigma=2483634570417439)
2017-12-07	ATH	C-PRP	M216157/6484711/1901463526447/1882863828766458049/30076984569942601653919 : B15A9799E692880A PRP: Verified PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M216157/1882863828766458049/1901463526447/30076984569942601653919/6484711 : B15A9799E692880A PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M216157/6484711/1901463526447/1882863828766458049/30076984569942601653919 : B15A9799E692880A PRP without proof (not generated)
2016-02-12	TJAOI	F-ECM	Factor: 30076984569942601653919
2014-07-28	TJAOI	F-ECM	Factor: 1882863828766458049
2008-07-21	J Feitsma	F	Factor: 1901463526447