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A175075 Primes q with result 2 under iterations of {r mod (max prime p < r)} starting at r = q. 4
2, 5, 7, 13, 19, 31, 43, 61, 73, 103, 109, 139, 151, 181, 193, 199, 229, 241, 271, 283, 313, 349, 421, 433, 463, 523, 571, 601, 619, 643, 661, 811, 823, 829, 859, 883, 1021, 1033, 1051, 1063, 1093, 1153, 1231, 1279, 1291, 1303, 1321, 1429, 1453, 1483, 1489 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(1) = 2, a(n) = A006512(n-1) for 2 <= n <= 82, a(83) = 2999. Sequence is the union of A006512 and A175080. Subsequence of A175072. Primes q with some results of {2, 28, 36, 52, 58, 66, ... } under first step of iteration of {r mod (max prime p < r)} starting at r = q, i.e. number 2 and primes q such that difference q and previous prime is equal to some of the values 2, 28, 36, 52, 58, 66, ...

LINKS

Table of n, a(n) for n=1..51.

FORMULA

A175072 \ A175076. [From Jaroslav Krizek, Jan 30 2010; A-number corrected by R. J. Mathar, Sep 25 2010]

EXAMPLE

Iteration procedure for a(5) = 19: 19 mod 17 = 2. Iteration procedure for a(83) = 2999: 2999 mod 2971 = 28, 28 mod 23 = 5, 5 mod 3 = 2.

MATHEMATICA

fQ[p_] := Block[{r = p}, While[r > 2, r = Mod[r, NextPrime[r, -1]]]; r == 2]; Select[ Prime@ Range@ 253, fQ] (* Robert G. Wilson v, Aug 09 2010 *)

CROSSREFS

Sequence in context: A069351 A275011 A094743 * A262392 A056985 A082182

Adjacent sequences:  A175072 A175073 A175074 * A175076 A175077 A175078

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jan 23 2010

EXTENSIONS

More terms from Robert G. Wilson v, Aug 09 2010

A175080 inserted in comment - R. J. Mathar, Sep 25 2010

STATUS

approved

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Last modified May 24 22:11 EDT 2017. Contains 287008 sequences.