

A072828


Primes p such that p+1 is a highly composite number.


6



3, 5, 11, 23, 47, 59, 179, 239, 359, 719, 839, 1259, 5039, 7559, 10079, 55439, 110879, 166319, 665279, 1081079, 1441439, 6486479, 32432399, 61261199, 698377679, 735134399, 1102701599, 1396755359, 2205403199, 20951330399, 41902660799
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OFFSET

1,1


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..441 (terms below 10^1000; terms 1..300 from T. D. Noe)
Benny Lim, Prime Numbers Generated From Highly Composite Numbers, Parabola Magazine, volume 54, issue 3, 2018.


FORMULA

a(n) == 2 (mod 3) for n > 1 (because highly composite numbers > 4 are == 0 (mod 3); see A002182).  Jonathan Sondow, Nov 05 2015
a(n) = A002182(A306588(n))  1.  Amiram Eldar, Dec 03 2020


EXAMPLE

47 is a term because it is prime and also 47+1=48 is a highly composite number.


CROSSREFS

Cf. A002182, A068507, A072826, A214873, A306588.
Sequence in context: A260239 A023223 A106086 * A290114 A032803 A335883
Adjacent sequences: A072825 A072826 A072827 * A072829 A072830 A072831


KEYWORD

nonn


AUTHOR

Shyam Sunder Gupta, Jul 21 2002


STATUS

approved



