27-digit factor of (M+2)24036583 by P-1 by mprime255-OSX

[bearnol]

[Sun Feb 28 15:34:13 2010]
P-1 found a factor in stage #2, B1=50000, B2=5000000.
2^24036583+1 has a factor: 8019290986458832278384225275157160971

? factor(8019290986458832278384225275157160971)
%5 =
[3 1]

[11681779339 1]

[228826184600325074341662763 1]

? (2^24036583+1)%228826184600325074341662763
%7 = 0

? factor(228826184600325074341662762)
%6 =
[2 1]

[3 1]

[7 1]

[83 1]

[233 1]

[1811 1]

[19609 1]

[330047 1]

[24036583 1]

Last login: Sun Feb 28 14:53:35 on ttys007
Desmond:~ james$ cd math
Desmond:math james$ cd gmp-ecpp
Desmond:gmp-ecpp james$ ./atkin49.gmp*
total = 3183
max = 111763

PI =
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458701
******************
E =
2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746639193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901157383418793070215408914993488416750924476146066808226480016847741185374234544243710753907774499206955170227
******************
NATLOGONEPOINTNINE =
0.64185388617239472924480336140742337708875986273577482323572661701981349350622067937977027835051711557447795163484234193531054347593783899429423869404453535514142240725738237814424208303296382145925585774588652778113072312704658578565729252450789704376486755030303476770273209650026296904001464121404548576383
******************
number to be tested or 0 to quit:
228826184600325074341662763
N[0] = 228826184600325074341662763
a = 0
b = 228826183291339830635917863
m = 228826184600354574872772697
q = 3134605268498007874969489
P = (114807987, 88910221572621962734043603)
P1 = (0, 1)
P2 = (34328789231013165456209842, 74318138482669128471178708)
D = -228, dP = 4, P = 1 -399605224650084576000
-7985216535621460489954944000000
58827548670433207062445836288000000000
120020259495560805847424176128000000000000
j = 2315451646314071148970164
N[1] = 3134605268498007874969489
a = 2825367578554790893832523
b = 2972617424475516014155657
m = 3134605268500104774163242
q = 3827424351931
P = (64221391, 3062930760397832142460168)
P1 = (0, 1)
P2 = (2359949284260230296613373, 1013536232156029495709912)
N[2] = 3827424351931
a = 0
b = 2906625804856
m = 3827420597964
q = 7417481779
P = (1219113057, 2614656342693)
P1 = (0, 1)
P2 = (513307791031, 630736937211)
N[3] = 7417481779
a = 0
b = 3605979426
m = 7417380457
q = 110707171
P = (2126698284, 521244165)
P1 = (0, 1)
P2 = (2920073745, 3784466368)
proven prime
number to be tested or 0 to quit: