login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100418 Numbers n such that 30*n+{1,11,13,17,19,23,29} are all prime. 6
49, 34083, 41545, 48713, 140609, 524027, 616812, 855281, 1314397, 1324750, 1636152, 2281293, 2927134, 3401412, 3605413, 4989341, 5212221, 5284979, 5406303, 5645269, 6141254, 6342728, 7231434, 7347697, 7637329, 8027068 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Values are 0 mod 7.

LINKS

Table of n, a(n) for n=1..26.

MATHEMATICA

Select[Range[803*10^4], AllTrue[30#+{1, 11, 13, 17, 19, 23, 29}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jun 11 2019 *)

PROG

(PARI) {pav7(mx)= local(wp=[1, 11, 13, 17, 19, 23, 29], v=[], i, j, m); for(k=1, mx, i=k*30; j=1; m=1; while(m&&(j<8), m=isprime(i+wp[j]); j+=1); if(m, v=concat(v, k))); return(v)}

(MAGMA) [ n: n in [0..70000000 by 7] | forall{ q: q in [1, 11, 13, 17, 19, 23, 29] | IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011

CROSSREFS

Cf. A005776, A007775, A076205, A100419-A100423.

Sequence in context: A319941 A210819 A173171 * A239169 A134725 A203499

Adjacent sequences:  A100415 A100416 A100417 * A100419 A100420 A100421

KEYWORD

easy,nonn

AUTHOR

Ferenc Adorjan (fadorjan(AT)freemail.hu), Nov 19 2004

EXTENSIONS

Edited by Don Reble, Nov 17 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 18 13:55 EST 2020. Contains 331010 sequences. (Running on oeis4.)