The On-Line Encyclopedia of Integer Sequences (OEIS)

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A320713

Indices of primes followed by a gap (distance to next larger prime) of 30.
(history; published version)

#10 by Susanna Cuyler at Wed Oct 24 19:17:16 EDT 2018

STATUS

proposed

approved

#9 by M. F. Hasler at Wed Oct 24 17:40:02 EDT 2018

STATUS

editing

proposed

#8 by M. F. Hasler at Wed Oct 24 17:39:32 EDT 2018

FORMULA

3aa(n) = A000720(A124596(n)).

#7 by M. F. Hasler at Wed Oct 24 17:38:23 EDT 2018

FORMULA

a3a(n) = A000720(A124596(n)).

A320713 = { i>0 | prime(i+1) = prime(i) + 30 } = A001223^(-1)({30}).

CROSSREFS

Subsequence of A107730 (prime(n+1) ends in same digit as prime(n)).

STATUS

proposed

editing

#6 by M. F. Hasler at Wed Oct 24 17:01:21 EDT 2018

STATUS

editing

proposed

#5 by M. F. Hasler at Wed Oct 24 17:00:55 EDT 2018

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).

Row 15 of A174349.

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).

STATUS

proposed

editing

#4 by M. F. Hasler at Wed Oct 24 16:53:21 EDT 2018

STATUS

editing

proposed

#3 by M. F. Hasler at Wed Oct 24 16:52:37 EDT 2018

FORMULA

A320713 = { i>0 | prime(i+1) = prime(i) + 30 }.

CROSSREFS

Cf. A029707, A029709 (analog for gaps 2 and 4), , A320701, A320702, ..., A320720 (analog for gaps 2, 4, 6, 8, 10, ..., 44), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210).

#2 by M. F. Hasler at Fri Oct 19 18:18:58 EDT 2018

NAME

allocated for M. F. Hasler

Indices of primes followed by a gap (distance to next larger prime) of 30.

DATA

590, 650, 708, 757, 842, 890, 928, 985, 1006, 1051, 1108, 1556, 1570, 1648, 1650, 1675, 1754, 1900, 1919, 2027, 2125, 2149, 2321, 2391, 2397, 2429, 2631, 2637, 2699, 2781, 2866, 2918, 2989, 2993, 3010, 3085, 3153, 3207, 3315, 3340, 3350, 3373, 3420, 3511, 3551, 3580, 3637, 3751, 3777, 3948

OFFSET

1,1

COMMENTS

Indices of the primes listed in A124596.

LINKS

<a href="/index/Pri#gaps">Index entries for primes, gaps between</a>.

FORMULA

a(n) = A000720(A124596(n)).

PROG

(PARI) A(N=100, g=30, 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 (analog for gaps 2 and 4), A320701, A320702, ..., A320720 (analog for gaps 6, 8, 10, ...), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210).

Equals A000720 o A124596.

Indices of 30's in A001223.

KEYWORD

allocated

nonn,changed

AUTHOR

M. F. Hasler, Oct 19 2018

STATUS

approved

editing

#1 by M. F. Hasler at Fri Oct 19 13:23:25 EDT 2018

NAME

allocated for M. F. Hasler

KEYWORD

allocated

STATUS

approved