198 013 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

198013

Factored

Factor	Digits	Bits	Date
194516882473	12	37.5	old
532916476511388693703169	24	78.8	2014-07-06 10:38:51
132609887241925357741564528429207	33	106.7	2021-09-12 22:39:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	752 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	16D332675069B32E	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	16D332675069B32E	2	135577	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	642917C52A0170D5	2	181333	5	3
Verified	2021-09-12	Ahmed Azhad	642917C52A0170D5	3	115003	5	3
Verified	2023-08-24	USAFSS	642917C52A0170D5	3	127895	5	3

History

Date	User	Type	Result
2023-08-24	qprime	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M198013/194516882473/532916476511388693703169/132609887241925357741564528429207 : 642917C52A0170D5 PRP proof power = 5 PRP: Verified Proof certified good
2021-09-14	Ahmed Azhad	NF-PP1	Start=169/71, B1=44000000, B2=7084000000
2021-09-14	Ahmed Azhad	NF-PP1	Start=6/5, B1=44000000, B2=7084000000
2021-09-14	Ahmed Azhad	NF-PP1	Start=2/7, B1=44000000, B2=7084000000
2021-09-13	curtisc	CERT	PRP Certification Proof certified good
2021-09-13	Ahmed Azhad	NF	no factor from 2^59 to 2^60
2021-09-13	Ahmed Azhad	NF	no factor from 2^58 to 2^59
2021-09-13	Ahmed Azhad	NF	no factor from 2^57 to 2^58
2021-09-13	Ahmed Azhad	NF	no factor from 2^56 to 2^57
2021-09-13	Ahmed Azhad	NF	no factor from 2^55 to 2^56
2021-09-13	Ahmed Azhad	NF	no factor from 2^0 to 2^55
2021-09-13	Ahmed Azhad	NF	no factor from 2^0 to 2^50
2021-09-12	Ahmed Azhad	C-PRP	M198013/194516882473/532916476511388693703169/132609887241925357741564528429207 : 642917C52A0170D5 PRP proof power = 5 PRP: Verified Proof certified good
2021-09-12	Ahmed Azhad	F-ECM	Factor: 132609887241925357741564528429207 / (ECM curve 3, B1=250000, B2=38500000, Sigma=6337280618005292)
2020-04-17	Oliver Kruse	C-PRP	M198013/194516882473/532916476511388693703169 : 642917C52A0170D5 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M198013/194516882473/532916476511388693703169 : 16D332675069B32E PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-09-22	Oliver Kruse	C-PRP	M198013/194516882473/532916476511388693703169 : 16D332675069B32E PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M198013/194516882473/532916476511388693703169 : 16D332675069B32E PRP without proof (not generated)
2014-07-06	TJAOI	F-ECM	Factor: 532916476511388693703169

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