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A078324 Primes of the form m*rad(m)+1, where rad=A007947 (squarefree kernel). 4
2, 5, 17, 37, 73, 101, 109, 197, 257, 401, 433, 577, 677, 1153, 1297, 1373, 1601, 1801, 2593, 2917, 3137, 3457, 3529, 3889, 4001, 4357, 5477, 7057, 8101, 8713, 8837, 9001, 10369, 12101, 13457, 14401, 15377, 15877, 16001, 16901, 17497, 17957, 18253, 18433, 20809 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

EXAMPLE

12*rad(12)+1 = 12*rad(3*2^2)+1 = 12*3*2+1 = 72+1 = 73, therefore 73 is a term.

a(33) = 10369 = 10368 + 1: A078310(1728) = (2*3)*(2^6*3^3) = 10368.

PROG

(Haskell)

a078324 n = a078324_list !! (n-1)

a078324_list = filter ((== 1) . a010051') a224866_list

-- Reinhard Zumkeller, Jul 23 2013

CROSSREFS

Cf. A078310, A000040, A078325.

Cf. A010051, intersection of A000040 and A224866.

Sequence in context: A100272 A107630 A078523 * A240322 A276460 A002496

Adjacent sequences:  A078321 A078322 A078323 * A078325 A078326 A078327

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 23 2002

EXTENSIONS

Missing 10369, 16001, 17497 and 18433 inserted by Reinhard Zumkeller, Jul 23 2013

STATUS

approved

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Last modified January 18 18:56 EST 2018. Contains 297864 sequences.