A253333
Primes in the 7th-order Fibonacci numbers A060455.
Original entry on oeis.org
7, 13, 97, 193, 769, 1531, 3049, 6073, 12097, 24097, 95617, 379399, 2998753, 187339729, 373174033, 2949551617, 184265983633, 731152932481, 88025699967469825543, 175344042716296888429, 4979552865927484193343796114081304399449
Offset: 1
Cf.
A001590,
A001631,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554,
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A001630,
A241660,
A247027,
A000288,
A247561,
A000322,
A248920,
A000383,
A247192,
A060455,
A253318.
-
a={1,1,1,1,1,1,1}; step=7; lst={}; For[n=step,n<=1000,n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst,sum]]; a=RotateLeft[a]; a[[7]]=sum]; lst
With[{c=PadRight[{},7,1]},Select[LinearRecurrence[c,c,150],PrimeQ]] (* Harvey P. Dale, May 08 2015 *)
-
lista(nn) = {gf = ( -1+x^2+2*x^3+3*x^4+4*x^5+5*x^6 ) / ( -1+x+x^2+x^3+x^4+x^5+x^6+x^7 ); for (n=0, nn, if (isprime(p=polcoeff(gf+O(x^(n+1)), n)), print1(p, ", ")););} \\ Michel Marcus, Jan 11 2015
A254413
Primes in the 8th-order Fibonacci numbers A123526.
Original entry on oeis.org
29, 113, 449, 226241, 14307889, 113783041, 1820091580429249, 233322881089059894782836851617, 29566627412209231076314948970028097, 59243719929958343565697204780596496129, 7507351981539044730893385057192143660843521
Offset: 1
Cf.
A001590,
A001631,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554,
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A001630,
A241660,
A247027,
A000288,
A247561,
A000322,
A248920,
A000383,
A247192,
A060455,
A253318,
A079262,
A253705,
A123526,
A254412.
-
a={1,1,1,1,1,1,1,1}; step=8; lst={}; For[n=step+1,n<=1000,n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst,sum]]; a=RotateLeft[a]; a[[step]]=sum]; lst
Select[With[{lr=PadRight[{},8,1]},LinearRecurrence[lr,lr,200]],PrimeQ] (* Harvey P. Dale, Dec 03 2022 *)
Original entry on oeis.org
19, 37, 223, 409, 53617, 23757289, 3111662089, 407556643177, 1372675688565303822697, 23548271681390871672120649, 1676892190264006259992141409, 64923481849284379431377700019
Offset: 1
Cf.
A001590,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554.
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A214827,
A242324,
A214827,
A214828,
A214829,
A242572,
A242576,
A243622,
A214829,
A244001,
A214831,
A244002.
-
a={1,9,9}; For[n=3, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[3]]=sum]
A248921
Primes in the pentanacci numbers sequence A000322.
Original entry on oeis.org
5, 17, 977, 28697, 56417, 1428864769, 2809074173, 21344178433, 626815657409, 18407729752001, 2317881588988297338942875602391948125494800020122167809, 136507010958920295813169620935932629930648432530102206331972221346174230852977164801
Offset: 1
Cf.
A001590,
A001631,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554,
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A001630,
A241660,
A247027,
A000288,
A247561,
A000322,
A248920.
-
a={1,1,1,1,1}; For[n=5, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[5]]=sum]
Select[With[{c={1,1,1,1,1}},LinearRecurrence[c,c,300]],PrimeQ] (* Harvey P. Dale, Nov 30 2019 *)
A253706
Primes in the 8th-order Fibonacci numbers A079262.
Original entry on oeis.org
2, 509, 128257, 133294824621464999938178340471931877, 4596852049500861351052672455121859744010232939954169259264638023409631672658340253083284317818242062413
Offset: 1
Cf.
A001590,
A001631,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554,
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A001630,
A241660,
A247027,
A000288,
A247561,
A000322,
A248920,
A000383,
A247192,
A060455,
A253318,
A079262,
A253705.
-
a={0,0,0,0,0,0,0,1}; step=8; lst={}; For[n=step,n<=1000,n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst,sum]]; a=RotateLeft[a]; a[[step]]=sum]; lst
-
lista(nn) = {gf = x^7/(1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8); for (n=0, nn, if (isprime(p=polcoeff(gf+O(x^(n+1)), n)), print1(p, ", ")););} \\ Michel Marcus, Jan 12 2015
A230017
Prime terms in the tribonacci-like sequence, A214825.
Original entry on oeis.org
3, 3, 7, 13, 23, 43, 79, 491, 19009, 34963, 8422747, 326099713, 3699221592878859104602113553, 77867739062209443974741001359, 63460200981504216633346603450897, 174962190954783387911511685367053207
Offset: 1
Cf.
A001590,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554.
A214727,
A234696,
A141523,
A235862,
A214825,
A235873.
-
a={1,3,3}; Print[3]; Print[3]; For[n=3, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[3]]=sum]
A234703
Primes in the tribonacci-like sequence, A214727.
Original entry on oeis.org
2, 2, 5, 101, 13241, 151537, 66848890001808737, 8602289657912317933269334679427588251509673524841616601
Offset: 1
-
a={1,2,2}; Print[2]; Print[2]; For[n=3, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[3]]=sum]
Select[LinearRecurrence[{1,1,1},{1,2,2},500],PrimeQ] (* Harvey P. Dale, Feb 22 2023 *)
Original entry on oeis.org
2, 3, 23, 60217, 108412217573460833, 143003097309669584171480759
Offset: 1
Cf.
A001590,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554.
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A001630,
A241660.
-
a={0,0,1,2}; Print[2]; For[n=4, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[4]]=sum]
a(1)=2 prepended and Mathematica program corrected by
Robert Price, Sep 09 2014
A242316
Prime terms in the tribonacci-like sequence A214826.
Original entry on oeis.org
17, 103, 1764391, 8907752079422393063, 28959877095025359725108610631647478770525190687597954707985655095645523042346644747326776183477265033
Offset: 1
Cf.
A001590,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554.
A214727,
A234696,
A141523,
A235862,
A214825,
A235873 A214826,
A242315.
-
a={1,4,4}; For[n=3, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[3]]=sum]
Select[LinearRecurrence[{1,1,1},{1,4,4},400],PrimeQ] (* Harvey P. Dale, Mar 17 2016 *)
A242325
Prime terms in the tribonacci-like sequence A214827.
Original entry on oeis.org
5, 5, 11, 37, 127, 233, 1451, 4909, 9029, 16607, 103333, 37314473023, 232180447061, 2657194941637, 13356042204482014297297131147848321, 4717604056747741831285902446873182186115052544834224581062711115537322612895948580479
Offset: 1
Cf.
A001590,
A100683,
A231574,
A231575,
A232543,
A214899,
A020992,
A233554.
A214727,
A234696,
A141523,
A235862,
A214825,
A235873,
A214827,
A242324.
-
a={1,5,5}; Print[5]; Print[5]; For[n=3, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], Print[sum]]; a=RotateLeft[a]; a[[3]]=sum]
Comments