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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A339953 Primes of the form (p + 2*q + r)/6 where p, q and r are consecutive primes. 2
 5, 7, 11, 13, 29, 47, 67, 71, 73, 83, 131, 151, 233, 307, 461, 467, 479, 571, 577, 587, 613, 619, 643, 727, 853, 947, 953, 967, 991, 1063, 1093, 1231, 1249, 1291, 1297, 1427, 1489, 1493, 1867, 1871, 1879, 2017, 2083, 2111, 2251, 2309, 2311, 2473, 2749, 2753, 2767, 3011, 3089, 3191, 3313, 3691 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 FORMULA a(n) = (A151799(A339954(n))+2*A339954(n)+A151800(A339954(n)))/6. EXAMPLE a(3) = 11 is a term because 13, 17, 19 are consecutive primes with (13+2*17+19)/6 = 11 and 11 is prime. MAPLE q:= 2: r:= 3: count:= 0: R:= NULL: while count < 100 do    p:= q; q:= r; r:= nextprime(r);    w:= (p+2*q+r)/6;    if w::integer and isprime(w) then     count:= count+1; R:= R, w;    fi od: R; CROSSREFS Cf. A151799, A151800, A339954. Sequence in context: A265006 A135930 A163429 * A220951 A136055 A250127 Adjacent sequences:  A339950 A339951 A339952 * A339954 A339955 A339956 KEYWORD nonn AUTHOR J. M. Bergot and Robert Israel, Dec 24 2020 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.

Last modified December 4 11:27 EST 2021. Contains 349486 sequences. (Running on oeis4.)