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A175073 Primes q with result 1 under iterations of {r mod (max prime p < r)} starting at r = q. 3
3, 11, 17, 23, 29, 37, 41, 47, 53, 59, 67, 71, 79, 83, 89, 97, 101, 107, 113, 127, 131, 137, 149, 157, 163, 167, 173, 179, 191, 197, 211, 223, 227, 233, 239, 251, 257, 263, 269, 277, 281, 293, 307 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A175071.

Union of a(n) and A175074 is A175071. - Jaroslav Krizek, Jan 30 2010

The terms in A025584 but not in here are 2, 2999, 3299, 5147, 5981, 8999, 9587, ... , apparently those listed in A175080. - R. J. Mathar, Feb 01 2010

a(n-1)=A156828(n) in the range n=3..348, but afterwards the sequences differ because numbers like 2999 and 3229 are in A156828 but not in here. - R. J. Mathar, Mar 01 2010

Conjecture: under this iteration procedure, all primes eventually will yield either a 2 or a 1.  If a 2 results, all subsequent terms are zeros; if a 1 results, all subsequent terms are -1s. The conjecture is true for the first 2 million primes. - Harvey P. Dale, Jan 17 2014

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

Iteration procedure for a(2) = 11: 11 mod 7 = 4, 4 mod 3 = 1.

MATHEMATICA

r1Q[n_] := FixedPoint[Mod[#, NextPrime[#, -1]] &, n] == -1; Select[Prime[ Range[70]], r1Q] (* This program relies upon the conjecture described in the comments above *) (* Harvey P. Dale, Jan 17 2014 *)

CROSSREFS

Note that all three of A025584, A156828, A175073 are different sequences. - N. J. A. Sloane, Apr 10 2011

Sequence in context: A057179 A075334 A056983 * A062284 A141339 A069348

Adjacent sequences:  A175070 A175071 A175072 * A175074 A175075 A175076

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jan 23 2010

STATUS

approved

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Last modified September 26 10:45 EDT 2017. Contains 292518 sequences.