duplicate hunting, pt. 13; Q. for Clark Kimberling

[N. J. A. Sloane]

send it to me and to Clark.
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Date: Sat, 9 Jun 2007 10:12:26 -0700
From: "Jonathan Post" <jvospost3 at gmail.com>
To: "sequence fans" <seqfan at ext.jussieu.fr>, rayjchandler at sbcglobal.net,
   reinhard.zumkeller at lhsystems.com
Subject: kindness of Andrew Plewe and njas in editing A100598
Cc: "jonathan post" <jvospost2 at yahoo.com>
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I appreciate the kindness of Andrew Plewe and njas in editing A100598
Numbers n such that (prime(n)-1)! + prime(n)^8 is prime, and some
others.

I do not dispute the designation of "less."  But I'd like to point out
that this might be dealt with by crossreferencing the set of related
sequences extended by Ray Chandler, which today (having learned
something of OEIS protocol despite being one of the usual suspects) I
might have submitted as a single 2-dimensional table, with k as row
parameter. I will not submit the array, because "less" does indeed
mean "less." Which  may be the point of the "less" in this case, to
keep these at the less-likely-to-be seen tail of searches.

A[k,n] = Numbers n such that (prime(n)-1)! + prime(n)^k is prime.

k = 1: Row 1 = n such that a(n) is prime in A100856  a(n) = (prime(n)
- 1)! + prime(n).

k = 2: Row 2 = A100605 Numbers n such that (prime(n)-1)! + prime(n)^2 is prime.

k = 3: Row 3 = A100604 Numbers n such that (prime(n)-1)! + prime(n)^3 is prime.

k = 4: Row 4 = A100603 Numbers n such that (prime(n)-1)! + prime(n)^4 is prime.

k = 5: Row 5 = A100602 Numbers n such that (prime(n)-1)! + prime(n)^5 is prime.

k = 6: Row 6 = A100600 Numbers n such that (prime(n)-1)! + prime(n)^6 is prime.

k = 7: Row 7 = A100599 Numbers n such that (prime(n)-1)! + prime(n)^7 is prime.

k = 8: Row 8 = A100598  Numbers n such that (prime(n)-1)! + prime(n)^8 is prime.

k = 9: Row 9 = A100595  Numbers n such that (prime(n)-1)! + prime(n)^9 is prime.

k = 10: Row 10 = A100596 Numbers n such that (prime(n)-1)! +
prime(n)^10 is prime.

I'd been doing the PC equivalent of "reading a textbook with pencil in
hand" and working the problems, in my over-reacting to  A100856 of
Reinhard Zumkeller's (reinhard.zumkeller(AT)lhsystems.com), Nov 20
2004.

That is, OEIS is often read actively by people who play with
variations, rather than passively by look-up. This can be good, as
with the wonderful b-list extensions by Tony Noe, or the comprehensive
duplicate search.  It can also be bad, by those whose variations are
less interesting thatn the originals, to which I plead mea culpa to
about the 1600 power.