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Search: a088561 -id:a088561
Displaying 1-3 of 3 results found. page 1
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A023219 Primes p such that 5p+6 is a prime. +10
10
5, 7, 11, 13, 19, 29, 37, 41, 47, 53, 61, 79, 83, 97, 103, 107, 113, 127, 131, 137, 139, 149, 151, 163, 181, 193, 197, 211, 229, 233, 239, 257, 263, 271, 293, 313, 347, 359, 373, 379, 389, 401, 421, 431, 443, 449, 461, 467, 487, 503, 509, 523, 541, 547, 557, 569, 571, 593 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
J. Chavoya, A. Lucero, S. Reynolds, On p-adic valuations of the generalized Fibonacci sequences, in MSRI-UP Research Reports, 2014, pp. 91-109.
MATHEMATICA
Select[Prime[Range[200]], PrimeQ[5#+6]&] (* Harvey P. Dale, Jul 27 2011 *)
PROG
(Magma) [p: p in PrimesUpTo(200)| IsPrime(5*p+6)]; // Vincenzo Librandi, Nov 20 2010
CROSSREFS
Subset of A081759.
Cf. A090161, A088555, A088561.
KEYWORD
nonn,easy
AUTHOR
David W. Wilson
STATUS
approved
A088555 Primes of the form 5*p + 6 where p is a prime. +10
4
31, 41, 61, 71, 101, 151, 191, 211, 241, 271, 311, 401, 421, 491, 521, 541, 571, 641, 661, 691, 701, 751, 761, 821, 911, 971, 991, 1061, 1151, 1171, 1201, 1291, 1321, 1361, 1471, 1571, 1741, 1801, 1871, 1901, 1951, 2011, 2111, 2161, 2221, 2251, 2311, 2341 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Primes arising in A023219.
Subsequence of A030430.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..3400
FORMULA
a(n) = 5*A023219(n) + 6.
MATHEMATICA
6 + 5 Select[Prime[Range[200]], PrimeQ[5 # + 6] &] (* Vincenzo Librandi, May 19 2017 *)
PROG
(Magma) [5*p+6: p in PrimesUpTo(600)| IsPrime(5*p+6)]; // Vincenzo Librandi, May 19 2017
(PARI) forprime(p=2, 500, my(pp=5*p+6); if(isprime(pp), print1(pp, ", "))) \\ Hugo Pfoertner, Aug 06 2021
CROSSREFS
Cf. A023219, A030430, A088561, A090161.
KEYWORD
nonn,easy
AUTHOR
Ray Chandler, Nov 28 2003
EXTENSIONS
Name clarified by Jinyuan Wang, Aug 06 2021
STATUS
approved
A090161 A023219 indexed by A000040. +10
3
3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 18, 22, 23, 25, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 42, 44, 45, 47, 50, 51, 52, 55, 56, 58, 62, 65, 69, 72, 74, 75, 77, 79, 82, 83, 86, 87, 89, 91, 93, 96, 97, 99, 100, 101, 102, 104, 105, 108, 109, 110, 111, 117, 119, 120, 122, 123 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Table of n, a(n) for n=1..66.
FORMULA
a(n) = k such that A000040(k) = A023219(n).
a(n) = A000720(A023219(n)). - Michel Marcus, Aug 06 2021
CROSSREFS
Cf. A023219, A088555, A088561.
KEYWORD
nonn,easy
AUTHOR
Ray Chandler, Nov 28 2003
EXTENSIONS
Offset changed to 1 by Jinyuan Wang, Aug 06 2021
STATUS
approved
page 1

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Last modified August 29 15:03 EDT 2024. Contains 375517 sequences. (Running on oeis4.)