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A294357 Smallest odd number that can be expressed in more ways by sums of 3 odd primes p+q+r with p <= q <= r than any smaller odd number. 4
9, 13, 17, 21, 25, 27, 29, 33, 37, 39, 45, 47, 51, 53, 63, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 161, 167, 173, 185, 191, 197, 203, 209, 215, 221, 227, 233, 239, 245, 247, 251, 257, 269, 277, 281, 287, 293, 299 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Position of n-th record in A007963 converted to actual odd number for which the record is achieved.

The corresponding records of numbers of representations are provided in A294358.

Empirically mod(a(n),6) = 5 for all a(n) > 63 and mod(a(n),30) != 5 for all a(n) > 425.

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..1113

FORMULA

a(1)=9 because 9 = 3+3+3 is the smallest number that can be represented as sum of 3 odd primes.

a(13)=51 because A007963(25) = A007963((51-1)/2) = 14 is the 13th record in A007963.

CROSSREFS

Cf. A007963, A102605, A139321, A294294, A294295, A294358.

Sequence in context: A106636 A186427 A050109 * A329388 A227062 A134441

Adjacent sequences:  A294354 A294355 A294356 * A294358 A294359 A294360

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Oct 29 2017

STATUS

approved

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Last modified July 14 13:27 EDT 2020. Contains 335729 sequences. (Running on oeis4.)