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 A295973 Primes introducing new second differences in A036263. 4
 3, 5, 7, 11, 29, 31, 113, 127, 139, 149, 509, 523, 541, 907, 1069, 1087, 1151, 1327, 1361, 1543, 1669, 1933, 1951, 2971, 2999, 3163, 5381, 5749, 6421, 7963, 9551, 10007, 14143, 15683, 15727, 15823, 16183, 19373, 19609, 20809, 25471, 28277, 28351, 31397, 31469, 31957, 34061, 34123, 35671 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This list consists of those primes corresponding to new second differences in A036263. There are 97 new second differences introduced up to the 100000th prime. LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..324 (first 97 terms from Edward Bernstein) EXAMPLE The new values in A036263 are 1, 0, 2, -2, -4, 4, 10, -10, 8, -8, ... at indices 1, 2, 3, 4, 9, 10, 29, 30, ... and the middle primes of the prime triple starting at these indices are 3, 5, 7, 11, 29, ... MAPLE A036263s := proc(maxn)     s := {} ;     for n from 1 to maxn do         s := s union {A036263(n)} ;     end do:     s ; end proc: A295973a := proc(n)     if n = 1 then         return 2;     end if;     p := nextprime(procname(n-1)) ;     pidx := numtheory[pi](p) ;     while true do         candD := A036263(pidx) ;         if not candD in A036263s(pidx-1) then             return ithprime(pidx) ;         end if ;         pidx := pidx+1 ;     end do: end proc: A295973 := proc(n)     nextprime(A295973a(n)) ; end proc: seq(A295973(n), n=1..40) ; # R. J. Mathar, Jan 06 2018 CROSSREFS Cf. A036263, A295746. Sequence in context: A303705 A265687 A023368 * A142247 A167895 A106712 Adjacent sequences:  A295970 A295971 A295972 * A295974 A295975 A295976 KEYWORD nonn AUTHOR Edward Bernstein, Nov 30 2017 STATUS approved

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Last modified March 25 12:11 EDT 2019. Contains 321470 sequences. (Running on oeis4.)