216 803 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
433607	6	18.7	old
1812860496962824790090249	25	80.6	2014-12-19 13:18:58
324842493577784010687722921	27	88.1	2022-06-15 18:57:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	538 / 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	B4949895EBFAB550	2	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	B4949895EBFAB550	2	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	B4949895EBFAB550	2	81904	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3642E28FD1B53F23	2	55813	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	3642E28FD1B53F23	1	105767	5	3
Verified	2022-06-16	mnd9	3642E28FD1B53F23	3	192077	5	3
Verified	2022-06-18	_p95holder_	3642E28FD1B53F23	3	173088	5	3
Verified	2023-08-03	USAFSS	3642E28FD1B53F23	3	107943	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23 PRP proof power = 5 PRP: Verified Proof certified good
2022-06-18	_p95holder_	C-PRP	M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23 PRP: Verified PRP without proof (small exponent)
2022-06-16	mnd9	C-PRP	M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2022-06-15	_p95holder_	F-ECM	Factor: 324842493577784010687722921 / (ECM curve 4, B1=250000, B2=25000000)
2022-05-12	Jorge Coveiro	C-PRP	M216803/433607 : 3642E28FD1B53F23 PRP proof power = 5 PRP: Verified (Factored) PRP proof never uploaded
2022-02-28	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-26	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-05-07	Dylan Delgado	NF-PM1	B1=15000000, B2=1665000000
2021-05-03	Dylan Delgado	NF-PM1	B1=8296000, B2=837896000
2020-04-17	Oliver Kruse	C-PRP	M216803/433607/1812860496962824790090249 : 3642E28FD1B53F23 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M216803/433607/1812860496962824790090249 : B4949895EBFAB550 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M216803/433607/1812860496962824790090249 : B4949895EBFAB550 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M216803/433607/1812860496962824790090249 : B4949895EBFAB550 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M216803/433607/1812860496962824790090249 : B4949895EBFAB550 PRP without proof (not generated)
2014-12-19	TJAOI	F-ECM	Factor: 1812860496962824790090249 / (ECM curve 19, B1=50000, B2=5000000)