A327348 The 66 prime dates in each non-leap year of the form concatenate (month,day) without leading zeros for days.

11, 13, 17, 19, 113, 127, 131, 23, 29, 211, 223, 227, 31, 37, 311, 313, 317, 331, 41, 43, 47, 419, 421, 53, 59, 521, 523, 61, 67, 613, 617, 619, 71, 73, 79, 719, 727, 83, 89, 811, 821, 823, 827, 829, 97, 911, 919, 929, 101, 103, 107, 109, 1013, 1019, 1021, 1031, 113, 1117, 1123, 1129, 127, 1213, 1217, 1223, 1229, 1231

Offset

1,1

Comments

The months m = 1, 2, ..., 12 contribute 7, 5, 6, 5, 4, 5, 5, 7, 4, 8, 4, 6 such dates respectively. This adds up to 66 prime dates. In leap years there is the additional date 229 (see A327349).

Links

Table of n, a(n) for n=1..66.

Mathematica

Select[Flatten@ Array[Function[{m, d}, Array[FromDigits[Join[m, IntegerDigits[#]]] &, d]] @@ {IntegerDigits@ #, Which[MemberQ[{4, 6, 9, 11}, #], 30, # == 2, 28, True, 31]} &, 12], PrimeQ] (* Michael De Vlieger, Oct 03 2019 *)

Crossrefs

Cf. A327346 (74 prime dates of the form d.m (no leading 0's for m and d), A327347 (55 prime dates of the form d.m with leading 0's for m = 1, 3, 7, 9), A327349 (leap year case), A327914 (58 prime dates of the form m.d in non-leap years, with leading 0 for d = 1..9), A327915 (59 prime dates like A327914 but for leap years).

Sequence in context: A032591 A088265 A356987 * A327349 A240899 A090149

Adjacent sequences: A327345 A327346 A327347 * A327349 A327350 A327351

Keyword

nonn,easy,fini,full

Author

Wolfdieter Lang, Sep 30 2019

Status

approved