|
|
A096277
|
|
Sum of successive sums of successive primes: a(n) = s(n) + s(n+1) where s(n) = prime(n) + prime(n+1) (A001043).
|
|
6
|
|
|
13, 20, 30, 42, 54, 66, 78, 94, 112, 128, 146, 162, 174, 190, 212, 232, 248, 266, 282, 296, 314, 334, 358, 384, 402, 414, 426, 438, 462, 498, 526, 544, 564, 588, 608, 628, 650, 670, 692, 712, 732, 756, 774, 786, 806, 844, 884, 906, 918, 934
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
The first term is the only term that has a chance of being prime.
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
The sums of the first two pairs of successive primes are 5 and 8. 5+8 = 13 is the first term in the sequence.
|
|
MATHEMATICA
|
Total/@Partition[Total/@Partition[Prime[Range[60]], 2, 1], 2, 1] (* Harvey P. Dale, May 10 2011 *)
Nest[ListConvolve[{1, 1}, #]&, Prime[Range[100]], 2] (* Paolo Xausa, Oct 31 2023 *)
|
|
PROG
|
(PARI) f1(n, f(n)=prime(n)+prime(n+1)) = for(x=1, n, print(f(x)+f(x+1)", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|