The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A216180 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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)

#23 by Michel Marcus at Sat Jun 19 04:01:06 EDT 2021

STATUS

reviewed

approved

#22 by Joerg Arndt at Sat Jun 19 03:43:48 EDT 2021

STATUS

proposed

reviewed

#21 by Jinyuan Wang at Fri Jun 18 22:47:50 EDT 2021

STATUS

editing

proposed

#20 by Jinyuan Wang at Fri Jun 18 22:47:43 EDT 2021

COMMENTS

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

EXAMPLE

31277 = prime(3373) is a term because: 2*prime(3373) - prime(3374) = 2*31277 - 31307 = 31247 = prime(3367).

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

2*31277 - 31307 = 31247.

#19 by Jinyuan Wang at Fri Jun 18 22:47:07 EDT 2021

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, 582251, 598729, 649093, 654629, 663601, 678779, 782723

COMMENTS

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

Subsequence of A125830 and of A162174.

PROG

(PARI) lista(nn) = my(c=7, v=primes(7)); forprime(p=19, nn, if(2*v[c]-p==v[c=c%7+1], print1(precprime(p-1), ", ")); v[c]=p); \\ Jinyuan Wang, Jun 18 2021

CROSSREFS

Subsequence of A125830 and of A162174.

STATUS

approved

editing

#18 by Peter Luschny at Mon Jul 17 02:23:48 EDT 2017

STATUS

reviewed

approved

#17 by Joerg Arndt at Mon Jul 17 02:19:13 EDT 2017

STATUS

proposed

reviewed

#16 by Michel Marcus at Mon Jul 17 01:19:06 EDT 2017

STATUS

editing

proposed

#15 by Michel Marcus at Mon Jul 17 01:19:00 EDT 2017

COMMENTS

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

EXAMPLE

a(n) = 31277 = prime(3373); is a term because:

STATUS

proposed

editing

#14 by Michael De Vlieger at Sun Jul 16 22:33:43 EDT 2017

STATUS

editing

proposed