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Revision History for A093932 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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For n > 0, a(n+1) is the least prime not already used such that abs(a(n+1)-a(n))/2n is prime.
(history; published version)
#8 by Andrey Zabolotskiy at Sun Dec 31 16:39:17 EST 2023
STATUS

editing

approved

#7 by Andrey Zabolotskiy at Sun Dec 31 16:39:12 EST 2023
NAME

For n > 0, a(n+1) is the least prime not already used such that abs(a(n+1)-a(n))/2n is prime.

STATUS

approved

editing

#6 by N. J. A. Sloane at Thu Dec 05 19:56:49 EST 2013
AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Apr 25 2004

Discussion
Thu Dec 05
19:56
OEIS Server: https://oeis.org/edit/global/2075
#5 by Russ Cox at Fri Mar 30 17:38:04 EDT 2012
COMMENTS

The last term is a(110) = 5. The smallest primes that don't occur are 2, 11, 23 and 113. - _David Wasserman (dwasserm(AT)earthlink.net), _, Mar 07 2007

EXTENSIONS

More terms from _David Wasserman (dwasserm(AT)earthlink.net), _, Mar 07 2007

Discussion
Fri Mar 30
17:38
OEIS Server: https://oeis.org/edit/global/184
#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
COMMENTS

The last term is a(110) = 5. The smallest primes that don't occur are 2, 11, 23, and 113. - David Wasserman (dwasserm(AT)earthlink.net), Mar 07 2007

KEYWORD

nonn,fini,full,less,new

#3 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007
NAME

Rearrangement of odd primes such that absolute[For n > 0, a(n+1) - a(n)] is 2n times a the least prime. Or { not already used such that abs(a(n+1)-a(n)}/2n is a prime.

DATA

3, 7, 19, 31, 47, 17, 41, 13, 61, 97, 37, 103, 151, 73, 157, 67, 131, 29, 101, 367, 167, 83, 919, 137, 233, 383, 227, 389, 109, 283, 163, 349, 541, 79, 419, 769, 409, 557, 709, 1567, 1327, 1163, 71, 673, 937, 307, 491, 773, 293, 587, 787, 277, 797, 479, 263, 43, 379, 607, 839, 1193, 353, 719, 347, 599, 983, 593, 197, 13999, 2711, 89, 509, 8887, 3559, 3121, 1493, 443, 139, 601, 1069, 1543, 743, 257, 2389, 563, 59, 569, 53, 401, 929, 2887, 547, 911, 359, 1289, 3733, 503, 887, 499, 107, 701, 1301, 1907, 1499, 881, 1297, 877, 241, 883, 1531, 5

COMMENTS

The last term is a(110) = 5. The smallest primes that don't occur are 2, 11, 23, and 113. - David Wasserman (dwasserm(AT)earthlink.net), Mar 07 2007

EXAMPLE

a(5) = 47 hence a(6) = 17, which has not occurred earlier, as (47-17)/(2*5) = 3 is a prime.

as (47-17)/(2*5) = 3 is a prime.

CROSSREFS

Cf. A093931.

KEYWORD

more,nonn,uned,newfini,full,less

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Mar 07 2007

#2 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005
KEYWORD

more,nonn,uned,new

EXTENSIONS

Warning: Many recent communications from this author have contained numerical errors or have been badly formatted. This entry has not been edited and may contain errors. It is included on a provisional basis in the hope that some reader will edit it. - njas

#1 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004
NAME

Rearrangement of odd primes such that absolute[a(n+1) - a(n)] is 2n times a prime. Or {a(n+1)-a(n)}/2n is a prime.

DATA

3, 7, 19, 31, 47, 17, 41, 13, 61, 97, 37

OFFSET

1,1

EXAMPLE

a(5) = 47 hence a(6) = 17, which has not occurred earlier,

as (47-17)/(2*5) = 3 is a prime.

KEYWORD

more,nonn,uned

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2004

EXTENSIONS

Warning: Many recent communications from this author have contained numerical errors or have been badly formatted. This entry has not been edited and may contain errors. It is included on a provisional basis in the hope that some reader will edit it. - njas

STATUS

approved