A085158 -id:A085158 - cp's OEIS frontend

A288304 Primes of the form k!6+9, where k!6 is the sextuple factorial number (A085158).

11, 13, 233, 394249, 13404169, 24663654409, 311607296009, 1282510028809, 37455569511954513920009, 1717927167842495286476800009, 182100279791304500366540800009, 131285558488477016219820351299780608000009, 453537748960814664854433903259753397239152640000009

Offset: 1

Robert Price, Jun 07 2017

nonn

Robert Price, Table of n, a(n) for n = 1..19
Henri& Renaud Lifchitz, PRP Records.Search for n!6+9.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A288154.

MultiFactorial[n_,k_]:=If[n<1,1,n*MultiFactorial[n-k,k]];
Select[Table[MultiFactorial[i,6]+9, {i,0,100}], PrimeQ[#]&]

A288444 Numbers k such that k!6 + 16 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

1, 3, 7, 9, 11, 13, 15, 21, 23, 35, 37, 39, 47, 49, 59, 111, 117, 163, 287, 311, 601, 635, 855, 895, 2455, 2929, 3369, 7147, 10367, 12311, 13093, 13611, 14431, 17305, 27331

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 17, 19, 23, 43, 71, 107, 421, 8521, 21521, 21827591, 49579091, 295540261, 42061737041, 104463111041, ...
a(36) > 50000.
Terms > 49 correspond to probable primes.

			11!6 + 16 = 11*5 + 16 = 71 is prime, so 11 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+16.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 16] &]
Select[Range[1000],PrimeQ[Times@@Range[#,1,-6]+16]&] (* The program generates the first 24 terms of the sequence. To generate more, increase the Range constant. *)

A288445 Numbers k such that k!6 + 18 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

1, 5, 11, 13, 17, 19, 23, 31, 37, 41, 49, 83, 115, 161, 205, 617, 683, 769, 799, 1117, 1151, 1685, 1697, 1951, 2173, 3619, 3647, 6229, 6463, 6613, 9827, 12985, 15721, 16933, 22579, 25181, 38869, 48755

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 19, 23, 73, 109, 953, 1747, 21523, 1339993, 49579093, 894930593, ...
a(39) > 50000.
Terms > 49 correspond to probable primes.

			11!6 + 18 = 11*5 + 18 = 73 is prime, so 11 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+18.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 18] &]

A288446 Numbers k such that k!6 + 24 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

5, 7, 11, 19, 23, 29, 53, 67, 71, 79, 109, 121, 275, 707, 725, 1345, 1961, 2221, 2477, 2765, 5557, 5779, 7423, 11587, 22495, 25063, 28795, 43783

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 29, 31, 79, 1753, 21529, 623669, 2229272062349, ...
a(29) > 50000.
Terms > 29 correspond to probable primes.

			11!6 + 24 = 11*5 + 24 = 79 is prime, so 11 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+24.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 24] &]

A288447 Numbers k such that k!6 + 27 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

2, 4, 8, 10, 14, 20, 22, 26, 32, 40, 110, 116, 142, 148, 200, 370, 854, 1166, 1594, 2164, 4424, 5942, 9086, 13300, 15224, 20482, 22940, 27478, 47486

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 29, 31, 43, 67, 251, 4507, 14107, 116507, 3727387, 536166427, ...
a(30) > 50000.
Terms > 40 correspond to probable primes.

			10!6 + 27 = 10*4 + 27 = 67 is prime, so 10 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+27.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 27] &]
Select[Range[48000],PrimeQ[Times@@Range[#,1,-6]+27]&] (* Harvey P. Dale, Aug 10 2021 *)

A288448 Numbers k such that k!6 + 32 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

5, 9, 17, 21, 29, 53, 57, 105, 111, 279, 303, 435, 483, 677, 1049, 1217, 1395, 9651, 26031, 31937

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 37, 59, 967, 8537, 623677, 2229272062357, 38661097149707, ...
a(21) > 50000.
Terms > 29 correspond to probable primes.

			17!6 + 32 = 17*11*5 + 32 = 967 is prime, so 17 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+32.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 32] &]

A288449 Numbers k such that k!6 + 36 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

1, 5, 7, 13, 17, 25, 29, 31, 55, 77, 119, 311, 373, 587, 1037, 1057, 1645, 2279, 2327, 2531, 2893, 2917, 3293, 3799, 9139, 14131, 14405, 15041, 24923, 26563, 48743

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 37, 41, 43, 127, 971, 43261, 623681, 1340011, 5745471106411, ...
a(32) > 50000.
Terms > 31 correspond to probable primes.

			13!6 + 36 = 13*7*1 + 36 = 127 is prime, so 11 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+36.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 36] &]

A288450 Numbers k such that k!6 + 48 is prime, where k!6 is the sextuple factorial number (A085158 ).

Original entry on oeis.org

5, 11, 13, 17, 19, 35, 43, 49, 67, 71, 73, 85, 103, 263, 293, 497, 529, 599, 905, 971, 1685, 2927, 3635, 3847, 4535, 8501, 38777

Offset: 1

Robert Price, Jun 09 2017

Corresponding primes are: 53, 103, 139, 983, 1777, 21827623, 2131900273, 104463111073, ...
a(28) > 50000.
Terms > 49 correspond to probable primes.

			11!6 + 48 = 11*5 + 48 = 103 is prime, so 11 is in the sequence.

Henri & Renaud Lifchitz, PRP Records. Search for n!6+48.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A007661, A037082, A084438, A123910, A242994.

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 48] &]

A288608 Primes of the form k!6+3, where k!6 is the sextuple factorial number (A085158).

Original entry on oeis.org

5, 7, 19, 43, 227, 643, 4483, 14083, 116483, 13404163, 333247405883392003, 75494329921353417731638961852391076220895232000003, 607641057683281452422878601758017247375890833361248739064460794062744301780319012095222746705407815771488256000000000000003

Offset: 1

Robert Price, Jun 11 2017

nonn

Robert Price, Table of n, a(n) for n = 1..14
Henri& Renaud Lifchitz, PRP Records.Search for n!6+3.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A287844.

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 6] + 3, {i, 0, 100}], PrimeQ[#]&]

A288609 Primes of the form k!6+4, where k!6 is the sextuple factorial number (A085158).

Original entry on oeis.org

5, 7, 11, 31, 59, 409, 1733, 229639, 21827579, 131527051677179, 606997343490162629, 12604484198222791879, 32799650788086796039050629, 1140711996797519078728387466879, 7575339494576348459668940121110928768987796879

Offset: 1

Robert Price, Jun 11 2017

nonn

Robert Price, Table of n, a(n) for n = 1..23
Henri& Renaud Lifchitz, PRP Records.Search for n!6+4.
Joe McLean, Interesting Sources of Probable Primes
OpenPFGW Project, Primality Tester

Cf. A287914.

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 6] + 4, {i, 0, 100}], PrimeQ[#]&]

cp's OEIS Frontend

A288304 Primes of the form k!6+9, where k!6 is the sextuple factorial number (A085158).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

A288444 Numbers k such that k!6 + 16 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288445 Numbers k such that k!6 + 18 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288446 Numbers k such that k!6 + 24 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288447 Numbers k such that k!6 + 27 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288448 Numbers k such that k!6 + 32 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288449 Numbers k such that k!6 + 36 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288450 Numbers k such that k!6 + 48 is prime, where k!6 is the sextuple factorial number (A085158 ).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

A288608 Primes of the form k!6+3, where k!6 is the sextuple factorial number (A085158).