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A178084 Numbers k for which 10k + 1, 10k + 3, 10k + 7, 10k + 9 and 10k + 13 are primes. 2
1, 10, 148, 1606, 1942, 2101, 2227, 4378, 5533, 14416, 16570, 16684, 19573, 20182, 22534, 24760, 26881, 32614, 34798, 36121, 39775, 46516, 51880, 53644, 63346, 63379, 66109, 76819, 79579, 82972, 85795, 87601, 95854, 100885, 102250, 106396 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

These primes sets are just like 3k-4 and 3k-2 (or 6k-1 and 6*k+1) prime pairs, only five in a row.

LINKS

Aaron Toponce, Table of n, a(n) for n = 1..1000

EXAMPLE

k =    1:    11,    13,    17,    19,    23,

k =   10:   101,   103,   107,   109,   113,

k =  148:  1481,  1483,  1487,  1489,  1493,

k = 1606: 16061, 16063, 16067, 16069, 16073,

k = 1942: 19421, 19423, 19427, 19429, 19433,

k = 2101: 21011, 21013, 21017, 21019, 21023,

k = 2227: 22271, 22273, 22277, 22279, 22283

MATHEMATICA

Flatten[Table[If[PrimeQ[10* n + 1] && PrimeQ[10*n + 3] && PrimeQ[10*n + 7] && PrimeQ[10*n + 9] && PrimeQ[10*(n + 1) + 3], n, {}], {n, 0, 50000}]]

PROG

(MAGMA) [n: n in [0..1000]| IsPrime(10*n+1) and IsPrime(10*n+3) and IsPrime(10*n+7) and IsPrime(10*n+9) and IsPrime(10*n+13)] // Vincenzo Librandi, Nov 30 2010

CROSSREFS

Cf. A007811.

Sequence in context: A295524 A095889 A097638 * A098270 A262738 A271467

Adjacent sequences:  A178081 A178082 A178083 * A178085 A178086 A178087

KEYWORD

nonn

AUTHOR

Roger L. Bagula, May 19 2010

EXTENSIONS

More terms from Vincenzo Librandi, May 23 2010

STATUS

approved

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Last modified June 25 03:00 EDT 2022. Contains 354835 sequences. (Running on oeis4.)