|
Search: id:A096277
|
|
|
| A096277 |
|
Sum of successive sums of successive primes. |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The first term is the only term that has a chance of being prime.
|
|
FORMULA
|
Let f(n) = prime(n) + prime(n+1) be the sum of the n-th and (n+1)-th primes. Then f1(n1) = f(n1)+f(n1+1) is the general term of the sequence.
|
|
EXAMPLE
|
The sums of the first two successive primes are 5 and 8. 5+8 = 13 is the first term in the sequence.
|
|
PROGRAM
|
(PARI) f1(n) = for(x=1, n, print(f(x)+f(x+1)", ")) f(n) = return(prime(n)+prime(n+1))
|
|
CROSSREFS
|
Sequence in context: A098956 A014158 A058016 this_sequence A132946 A066515 A032693
Adjacent sequences: A096274 A096275 A096276 this_sequence A096278 A096279 A096280
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Jun 22 2004
|
|
|
Search completed in 0.002 seconds
|
