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A133064 5*p^5 + 3*p^3 + 2*p^2, where p = prime(n). 0
192, 1314, 16050, 85162, 809490, 1863394, 7114602, 12401794, 32219274, 102630594, 143237050, 346874482, 579491130, 735284434, 1147040922, 2091429714, 3575244594, 4223669890, 6751536802, 9022230570, 10366535674, 15386773594, 19696932354, 27922427994, 42939458122, 52553613810 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n) = 5*(p(n))^5 + 3*(p)n))^3 + 2*(p(n))^2, where p(n)=A000040(n).

EXAMPLE

a(4)=85162 because the 4th prime is 7, 5*7^5=84035, 3*7^3=1029, 2*7^2=98 and we can write 84035+1029+98=85162.

MATHEMATICA

5#^5+3#^3+2#^2&/@Prime[Range[30]] (* From Harvey P. Dale, Dec 17 2011 *)

PROG

(MAGMA)[5*p^5+3*p^3+2*p^2: p in PrimesUpTo(200)][From Vincenzo Librandi, Dec 15 2010]

CROSSREFS

Cf. A000290, A000578, A000584, A045991, A133073. Prime numbers: A000040.

Sequence in context: A094949 A205768 A205761 * A183685 A051526 A188786

Adjacent sequences:  A133061 A133062 A133063 * A133065 A133066 A133067

KEYWORD

nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Nov 05 2007

EXTENSIONS

More terms from Vincenzo Librandi, Dec 15 2010

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Last modified February 14 21:59 EST 2012. Contains 205667 sequences.