login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A320715 Indices of primes followed by a gap (distance to next larger prime) of 34. 1
217, 1059, 1229, 1409, 1457, 1986, 2169, 2310, 2406, 3221, 3505, 3692, 3995, 4324, 4923, 5130, 5518, 6050, 6152, 6168, 6434, 7257, 7362, 7604, 7694, 7915, 8293, 8555, 8584, 8651, 8859, 9017, 9341, 9598, 9796, 9869, 10028, 10092, 10116, 10150, 10211, 10234, 10317, 10657, 10744, 10762 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Indices of the primes listed in A134116.

LINKS

Table of n, a(n) for n=1..46.

Index entries for primes, gaps between.

FORMULA

a(n) = A000720(A134116(n)).

A320715 = { i>0 | prime(i+1) = prime(i) + 34 }.

MATHEMATICA

Position[Differences[Prime[Range[11000]]], 34]//Flatten (* Harvey P. Dale, Jan 19 2021 *)

PROG

(PARI) A(N=100, g=34, p=2, i=primepi(p)-1, L=List())={forprime(q=1+p, , i++; if(p+g==p=q, listput(L, i); N--||break)); Vec(L)} \\ returns the list of first N terms of the sequence

CROSSREFS

Cf. A029707, A029709, A320701, A320702, ..., A320720 (analog for gaps 2, 4, 6, 8, ..., 44), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210).

Equals A000720 o A134116.

Indices of 34's in A001223.

Row 17 of A174349.

Sequence in context: A101826 A262052 A020251 * A183778 A250448 A221427

Adjacent sequences:  A320712 A320713 A320714 * A320716 A320717 A320718

KEYWORD

nonn

AUTHOR

M. F. Hasler, Oct 19 2018

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 25 18:38 EDT 2022. Contains 354851 sequences. (Running on oeis4.)