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A129701 Difference between successive primes cubed: a(n) = prime(n+1)^3 - prime(n)^3. 7
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; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = A030078(n+1) - A030078(n). - Michel Marcus, Sep 04 2013
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, 40}] (* Stefan Steinerberger, Jun 05 2007 *)
Last[#]-First[#]&/@(Partition[Prime[Range[40]], 2, 1]^3) (* Harvey P. Dale, Oct 13 2012 *)
PROG
(PARI) {a(n) = prime(n+1)^3 - prime(n)^3}; \\ G. C. Greubel, May 19 2019
(Magma) [NthPrime(n+1)^3 - NthPrime(n)^3: n in [1..40]]; // G. C. Greubel, May 19 2019
(Sage) [nth_prime(n+1)^3 - nth_prime(n)^3 for n in (1..40)] # G. C. Greubel, May 19 2019
CROSSREFS
Cf. A030078 (cubes of primes).
Sequence in context: A069593 A299733 A086120 * A221746 A241236 A044270
KEYWORD
nonn
AUTHOR
Ben Paul Thurston, Jun 01 2007
EXTENSIONS
More terms from Stefan Steinerberger, Jun 05 2007
STATUS
approved

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Last modified July 22 12:22 EDT 2024. Contains 374499 sequences. (Running on oeis4.)