(2^2687383+1)/3/440088720954577 is a probable prime!

(found by Gerbicz cofactor-compositeness test)

104k-106k to t25
 

[CODE]2^104009+1 = 1871192581503834011
2^104047+1 = 96269581013643540436391843398908212729
2^104059+1 = 131259107234392483
2^104059+1 = 6409667078238699190113050707
2^104107+1 = 2539330234942368851
2^104113+1 = 92355892895182464716057
2^104113+1 = 977096023682922360523
2^104149+1 = 93467949222747501675337
2^104207+1 = 54782143600387471913
2^104233+1 = 3686293185892707889
2^104239+1 = 37654897977588341603
2^104243+1 = 273429663186074456187899
2^104281+1 = 1910383923219218522617
2^104309+1 = 202942920717235763
2^104309+1 = 433544155119286819
2^104309+1 = 91166633410084537
2^104369+1 = 12480736056470620302827
2^104383+1 = 2340396206766468841
2^104383+1 = 3790142996161735727681
2^104393+1 = 4568294215130758594003
2^104459+1 = 1896709605406285217
2^104527+1 = 1743749033293298137313
2^104593+1 = 238697502281749753441
2^104639+1 = 160136958786695677603
2^104651+1 = 1343877698078325746993
2^104707+1 = 1096086468514075321
2^104717+1 = 7713911483328299209
2^104723+1 = 475780492236740978347
2^104773+1 = 595324483368654480782689
2^104801+1 = 73455153023878313
2^104827+1 = 1238706361317363691033
2^104849+1 = 473479104832842835513
2^104911+1 = 30168986625433107481889
2^105071+1 = 10596547420319065566707161
2^105143+1 = 716953504454268455433481
2^105227+1 = 307939348835413649329
2^105229+1 = 149501889050144913299
2^105229+1 = 337048937270886555022097
2^105251+1 = 23670042952788924233
2^105263+1 = 96397860893472781331107
2^105269+1 = 2732993104040786446232267
2^105341+1 = 2895293590136825041
2^105361+1 = 135547441857598335498697
2^105379+1 = 13938500222225012843
2^105389+1 = 19528482455945088809
2^105397+1 = 4685475189623829473
2^105397+1 = 85640378750822682841289
2^105401+1 = 6815728378980739019
2^105407+1 = 130435716363367368859
2^105437+1 = 550810403884361633432607205427
2^105467+1 = 3435144080682427051
2^105503+1 = 1212009856186045021953137
2^105517+1 = 112157983179150330131
2^105529+1 = 280276981591009937
2^105563+1 = 116577049382302330835683
2^105563+1 = 529987267720568561
2^105601+1 = 76525465541632111851482298563
2^105613+1 = 65836151275203530659939
2^105673+1 = 39165181616532437699
2^105701+1 = 1758225672223434707
2^105727+1 = 175239006883723273
2^105767+1 = 1275970129952740950845699
2^105899+1 = 10062777352400448449
2^105899+1 = 75223513642762797778841
2^105913+1 = 202763614753546603
2^105929+1 = 1057788293825747730435652897579[/CODE]

[QUOTE=GP2;511468](2^2687383+1)/3/440088720954577 is a probable prime!

(found by Gerbicz cofactor-compositeness test)[/QUOTE]

:w00t:

[QUOTE=GP2;511468](2^2687383+1)/3/440088720954577 is a probable prime!

(found by Gerbicz cofactor-compositeness test)[/QUOTE]

Congrats! :toot: My test of it:

[CODE]time ./pfgw64 -k -f0 -od -q"(2^2687383+1)/3/440088720954577" | ../../coding/gwnum/bpsw-2 - 1 2 2687383 1

Testing (2*x)^((n + 1)/2) == -2 (mod n, x^2 - 4*x + 1)...
Likely prime!

real 157m25.395s
user 157m13.504s
sys 0m1.128s
[/CODE]

Wow, very nice, 1.8 mil decimal digits! This should be submitted to [url]http://www.primenumbers.net/prptop/prptop.php[/url]

[QUOTE=DukeBG;511494]Wow, very nice, 1.8 mil decimal digits! This should be submitted to [url]http://www.primenumbers.net/prptop/prptop.php[/url][/QUOTE]

:ermm: It is ~0.85 million decimal digits.

[QUOTE=DukeBG;511494]Wow, very nice, 1.8 mil decimal digits! This should be submitted to [url]http://www.primenumbers.net/prptop/prptop.php[/url][/QUOTE]

It's already in their submission queue.

It's only 808968 digits, but there might be a bigger one coming. I paused the double checking for Wagstaff primes at 10 million and will spend the next week or two looking for PRP cofactors for exponents up to either 4 million or 5 million.

i used ln instead of log10 for some reason :redface:

(2^2860553+1)/3/1528891204123/11630352659013691 is a probable prime!

861084 digits

[QUOTE=GP2;511643](2^2860553+1)/3/1528891204123/11630352659013691 is a probable prime!

861084 digits[/QUOTE]

Congrats again :toot: My test:

[CODE]time ./pfgw64 -k -f0 -od -q"(2^2860553+1)/3/1528891204123/11630352659013691" | ../../coding/gwnum/bpsw-2 - 1 2 2860553 1

Testing (2*x)^((n + 1)/2) == 2 (mod n, x^2 - 3*x + 1)...
Likely prime!

real 164m27.728s
user 164m3.440s
sys 0m1.708s
[/CODE]

106k-108k to t25
 

[CODE]2^106103+1 = 528434745495815695003
2^106181+1 = 882817389843510931
2^106291+1 = 4214094046066196902451
2^106297+1 = 7608122844745192838732011
2^106307+1 = 1014342280433172673
2^106331+1 = 4063080438377168147
2^106349+1 = 113343177965880851227
2^106349+1 = 315380352606685591650739
2^106373+1 = 109310838588081107
2^106397+1 = 6102741157152015340180217
2^106411+1 = 716269356910647769
2^106417+1 = 20791960726275498817363
2^106433+1 = 2158415841527756863531
2^106487+1 = 1580356674712022230043
2^106501+1 = 6755457025382142495409
2^106541+1 = 1933915131097764479172481033
2^106619+1 = 26004239725931678605337
2^106621+1 = 10650249812364437046660089
2^106663+1 = 136354946480786641
2^106681+1 = 318832302943679904045552297329
2^106699+1 = 3121662282256221721
2^106727+1 = 136486406157101965771
2^106739+1 = 6424307661703735873
2^106739+1 = 6520808132094406633963
2^106747+1 = 2049377564879734941930139
2^106759+1 = 1354408990826254769443
2^106801+1 = 1535378606998482787
2^106801+1 = 450490719352350617
2^106861+1 = 2615941690498397330873
2^106867+1 = 123404719576082761
2^106877+1 = 27855232546221079547
2^106877+1 = 75978122741932683326620801
2^106903+1 = 23505676485382293308555954299
2^107033+1 = 2570192703246759841
2^107053+1 = 3676985755865732928385289637067
2^107071+1 = 1266829189085797368131
2^107071+1 = 46875124065828911912975537
2^107101+1 = 81810695481933923
2^107183+1 = 27062045882258453347
2^107201+1 = 1356853542512694907
2^107201+1 = 331250585602397119450426073
2^107273+1 = 6605035062044900883811
2^107279+1 = 28819561613691784606057
2^107309+1 = 68473993033306292273
2^107347+1 = 1837315591527374841575826323
2^107377+1 = 157932015461461921917442207633
2^107453+1 = 1276637721707578679527907
2^107507+1 = 240942803930778066121
2^107507+1 = 492909228356815622441
2^107509+1 = 711338047915793743282753
2^107581+1 = 12228659579551150577
2^107581+1 = 23512534601683322723867
2^107599+1 = 479188135440596295553123
2^107621+1 = 13083404513982521401
2^107621+1 = 4375972260198581626081
2^107693+1 = 1438475926758535073
2^107693+1 = 2585644649779141897
2^107699+1 = 675904772163357547
2^107777+1 = 644444939058993203
2^107791+1 = 36624920159639011961
2^107791+1 = 5101136093171270525870897
2^107857+1 = 41865962029800512299
2^107867+1 = 4083593102444233500139091
2^107897+1 = 157668103068411137
2^107923+1 = 3580844104871128769
2^107927+1 = 148117405495878921724480609
2^107951+1 = 21332208885894601237097040683
2^107999+1 = 13050372473856335321537[/CODE]