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A129701 Difference between successive primes cubed: a(n) = (P(n+1))^3 - (P(n))^3. +0
4
19, 98, 218, 988, 866, 2716, 1946, 5308, 12222, 5402, 20862, 18268, 10586, 24316, 45054, 56502, 21602, 73782, 57148, 31106, 104022, 78748, 133182, 207704, 117628, 62426, 132316, 69986, 147868, 605486, 199708, 323262, 114266, 622330, 135002 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(3) because the fourth prime is 7, cubed 343, the third prime is 5,cubed 125, 343-125=218

MAPLE

last:=8; for i from 3 to 30 do > while isprime(i)=false do > i:=i + 1; > end do; > r:= i^3 - last; > last:=i^3; > end do;

MATHEMATICA

Table[Prime[n + 1]^3 - Prime[n]^3, {n, 1, 50}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 05 2007

CROSSREFS

Sequence in context: A142170 A069593 A086120 this_sequence A044270 A044651 A142216

Adjacent sequences: A129698 A129699 A129700 this_sequence A129702 A129703 A129704

KEYWORD

nonn

AUTHOR

Ben Thurston (benthurston27(AT)yahoo.com), Jun 01 2007

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 05 2007

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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