[seqfan] Re: Primes in A227363

[Robert G. Wilson v]

Here I present only the index of the a(i) which are prime: {2, 3, 5, 7, 11,
41, 111, 205, 211, 215, 341, 345, 395, 581, 585, 1221, 1305, 1735, 1955,
2031, 2125, 2401, 3095, 3977, 4331, 5115, 5225, 5231, 5561, 6265, 6361,
6661, 7165, 7985, 8011, 8327, 8485, 8667, 9321, 13227, 13471, 14351, 14565,
15287, 16695, 17521, 18457, 21701, 22765, 23875, 28487, 29065, 29091, 32671,
32727, 35265, 37337, 37667, 38305, 40107, 42997, 43695, 43735, 45201, 45325,
45345, 45665, 51237, 51485, 57647, 59261, 61395, 61541, 67087, 71025, 72047,
75417, 75717, 80337, 85541, 86781, 87825, 91885, 93801, 94221, 97597} 
Bob.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of
israel at math.ubc.ca
Sent: Tuesday, July 09, 2013 3:58 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Primes in A227363

The next few are


f(41) = 630056417 f(111) = 24105105793168096757 f(205) =
4401009871817055539953474915801 f(211) = 19809505725867616995673669000957
f(215) = 53620111433777040123809448394181 f(341) =
172765757336153037089015958778221985003121417 f(345) =
403584688772608488495680138603074662211064321 f(395) =
12450280247647518289225697704403906998277769162221 f(581) =
20243871547909230170420176981884390159230855285825650243815056297 f(585) =
41000083847855061450182170896386110294921641141386701755950983841 f(1221) =
5309921546627438733022105719161600574205121366940087370502790283526853079136
9611677374331318710926604651177
f(1305) =
3964051826180612914550010836351126477971474161966631590880317928919992386271
996215739967781146563159670289001601
f(1735) =
8611804732766905603413697095494364002877850060574914268069693811861886950521
40387706242141090362869081057448840117522207175237180357541
f(1955) =
1074535097159904987526853200445081197754368303935014882659510767859361596738
77981695678093359183687878722827002632565059695268586784359980385382301
f(2031) =
5683481310510015719291493453444636865412293643873793866146039719867327202805
32948072317233600799764299114206591536827161449802891188937923232772734197
f(2125) =
1943205006526922378602306887446083411058100770644664251599124634890585269900
0440483962972451293005375253928779425895487013852706723258480182215555691999
961
f(2401) =
1531842350605225094822662859417834732994630594342275894780735670840742503122
8454958966042831376577076506532556285276339027727174557476886701519039593871
2808184245324337
f(3095) =
2269649556472151324847776607911078714653130264541909836441666260134518943017
4969877875073496905196357340738115659368910050859176384256274430540604838061
3472365284783938767695568549384193369735498821
f(3977) =
1568243279885435169517913257117705996977480559248251064238761385241750758222
6425142686488561337952987854718325678719395034795002855643784260177750034638
8115283698997046549545953825023102273664978718210873321982691431400004647347
70721
f(4331) =
2123027472921905895098403771429507882162935982598007630921002962494660953289
4192179123348541894666575740567109650958755076144548542911167188631527556695
1696821016320175301390952833121158657522036139701689738039814042197065453151
481220696574938797
f(5115) =
1048622683792173316312605119395480701186727524198041840580445075801726707157
1201583464919220054361015623730837137160571306834470179444490330449715956547
2253141232090850353964060769242528216274552271369887794186441700459362147091
5194681645782369298127067924433335836674194381
f(5225) =
5898438682164639627697012641648970635060098280520282384478031369540886963141
8842499080491390172810843404771046079649412774310426987331287071139086712970
7964404159909287720874133048640262303659918298058019646698543761317850982234
7033495560789349972852405365694770703170782225761
f(5231) =
9427722853542923083808637547854630958309333342712138697078273439991847768506
8944535632718659099203792268369200412182731918507402353603058834686028633546
1804462065723792791720423760556299128722770133631806457870295000508748268433
0391997419281983562517811795834807921324633220597
f(5561) =
1098872250851365030342585255203156737467048469391441710020157367633386705690
9490240263065413978535528551470458156878108316231345653393129092437152500875
1480900595338854476051178268537493138923537387050511223877212213913132123604
8022474300827608379305961857219870850596872098597379758382657
f(6265) =
6798990033919880758825006613254476611593397079691388377742918271165620768779
2770791085663993564144543991223601627537555253710439227666873294679187128166
3020074265427870602747509514920974485309428230801044363256417281732807656172
4207401918874644839862850399641514022359582953585245896405013507248732289995
0822081
f(6361) =
7268186826252733421665046378387605395936574200771531792803740753213107320321
7884292039591723425994304385220851821494930035612746364980651849309821584676
0530460909399747669112087214043935532896215489563544902693289934313667051330
2770205127102986835035064162638857450349553091833411889627635976936293143940
3170752257
f(6661) =
1638191038216167641711360065223358662905241652935087700098891680803656372516
4497768891538788661682438827349228809838630290921528736487681822391362436696
8601143027971996861048002602581261486253711814291892723905517453973040634476
7420477266812176866203800597249028549823058350897764556790491348547036952909
61629205086777570857
f(7165) =
3681196249381590290075663730426460138583464443426177217068662368651041980557
6559866384369394025226728247442594884286162263081945845520662295446926158667
8408714454093304003318934322931482994397278661914698037976054368247526090721
7684023200761982854904271487996303289849477859027864936668843864129119537659
36992351194194057518114378777420281
f(7985) =
4682212620549185478927455950764901945221465210283323908012451405780806832939
0725448326769906380954542705079082261927453920027281992681744105734485640534
8856325925121473292713927297544529259165588511562222052402826958338439706269
5927774448859414189847735048688506673172380727500112867807446299025003216099
50416088533651384276217376742442992179911958671604009345041
f(8011) =
2621030674473854334183979595613951000463778970629344336356026180303391493621
9473889189949756114233787309842024605093813434083453967476811827898334476369
2558786629633168834628248184543998490676483395669154489545988823059187217106
6280694477118922174775349968509086752320281955003338037448743371732740566387
515515938015266719135219975315645814574635809037933694344557
f(8327) =
2723381620446318951802074399970737379490365853494915928463599352312666785536
2128196160455808621454964766419384907333917729975166027822891941047172299976
9276458599712761863967480664002061890054010640025791878943362360228328934357
1530929839724093479436262970264010697239147531831747743306203723507774202122
943187851866837988894492892048588799093489717763231515203938924042021
f(8485) =
7817660843692163182826477342615045002691604810270713989878174679278869081400
8688017796179268778392173813745968037884334272003840028187465899724609119768
5227695335140625774507097160965065054299170142105147432406920971977187898321
6638420452233752128098986872569321888325199734115063873519014961984239793426
9936654204173909588391884512122873449668918731836975580722778805684664041
f(8667) =
9728868156594773797626111420453545223300936601766685236980118589813447047741
1218346057861106529053446748808298665074099204362749113159434082691305000984
5016435178406507905207494483824290464942524547338161486333574037357309213262
9577401187453509361872101155183109041894071643512832257796551162981437122749
9326870347820013967590370822534370080459267275739494477646648787067294216769
41
f(9321) =
9111729464538399373270799777947152558298925801481046638486210996201724026717
4707852862473517750899195801638684985036987796885340892852265104218492455448
4555290956023804498634761555395111600752429884753346463283492127535462650504
5564342880768130122669061754402154284582647697649059318731725866296456765744
5988882126642675155615342915892070687978459183478657812166289286878282905742
16886312828749825377

Cheers,
Robert Israel

On Jul 9 2013, Jonathan Post wrote:

>Noting that the only primes in A227363(n) for n = 0 to 38 are 2, 5, 17, 
>61, 557, what is the next prime in that subsequence?
>
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