The On-Line Encyclopedia of Integer Sequences (OEIS)

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A216180

Primes p=prime(i) of level (1,6), i.e., such that A118534(i) = prime(i-6).
(history; published version)

#13 by Michael De Vlieger at Sun Jul 16 22:33:40 EDT 2017

MATHEMATICA

With[{m = 6}, Prime@ Select[Range[m + 1, 5*10^4], If[MemberQ[{1, 2, 4}, #], 0, 2 Prime[#] - Prime[# + 1]] == Prime[# - m] &]] (* Michael De Vlieger, Jul 16 2017 *)

STATUS

reviewed

editing

#12 by Wesley Ivan Hurt at Sun Jul 16 21:23:55 EDT 2017

STATUS

proposed

reviewed

#11 by Jon E. Schoenfield at Sun Jul 16 20:12:09 EDT 2017

STATUS

editing

proposed

#10 by Jon E. Schoenfield at Sun Jul 16 20:12:06 EDT 2017

NAME

Primes p=prime(i) of level (1,6), i.e. , such that A118534(i) = prime(i-6).

EXAMPLE

For n=3, a(n) = 31277 =Prime prime(3373);

2*Primeprime(3373) -Prime prime(3374) =Prime prime(3367);

2*31277 - 31307 = 31247.

CROSSREFS

Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467, A119402, A119403, A119404, A125565, A125572, A125574, A125576, A125623.

STATUS

approved

editing

#9 by N. J. A. Sloane at Wed Mar 13 13:27:37 EDT 2013

STATUS

proposed

approved

#8 by Fabien Sibenaler at Sun Mar 10 14:12:08 EDT 2013

STATUS

editing

proposed

#7 by Fabien Sibenaler at Sun Mar 10 14:11:24 EDT 2013

LINKS

Fabien Sibenaler, <a href="/A216180/b216180.txt">Table of n, a(n) for n = 1..10000</a>

CROSSREFS

Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467, A119402, A119403, A119404, A125565, A125572, A125574, A125576, A125623

#6 by Fabien Sibenaler at Sun Mar 10 14:10:11 EDT 2013

CROSSREFS

Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467, A119402, A119403, A119404, A125565, A125572, A125574, A125576, A125623

#5 by Fabien Sibenaler at Sun Mar 10 14:08:20 EDT 2013

NAME

allocated for Fabien SibenalerPrimes p=prime(i) of level (1,6), i.e. such that A118534(i)=prime(i-6).

DATA

15823, 21617, 31277, 43331, 65731, 97883, 100853, 120947, 265277, 318023, 320953, 361241, 362759, 419831, 422141, 426799, 452549, 465211, 482441, 491539, 504403, 513533, 526781, 540391, 551597, 557093, 575261

OFFSET

1,1

COMMENTS

If the i-th prime p(i) has level 1 in A117563 and 2 p(i) - p(i+1) = p(i-k), then we say that p(i) has level(1,k).

Subsequence of A125830 and of A162174.

EXAMPLE

For n=3, a(n)=31277=Prime(3373)

2*Prime(3373)-Prime(3374)=Prime(3367)

2*31277-31307=31247

KEYWORD

allocated

nonn

AUTHOR

Fabien Sibenaler, Mar 10 2013

STATUS

approved

editing

#4 by Fabien Sibenaler at Sun Mar 10 14:08:20 EDT 2013

NAME

allocated for Fabien Sibenaler

KEYWORD

recycled

allocated