|
Search: id:A094663
|
|
|
| A094663 |
|
Prime numerators of the sums of the ratios of consecutive primes. |
|
+0
1
|
|
| 2, 19, 3023, 3469898586979325623, 2502544963063007045084611872632077
(list; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
COMMENT
|
Sum of reciprocals = 0.5577902661277818841795751911..
|
|
FORMULA
|
If a(n) = Sum(prime(k)/prime(k+1), k=1..n)) is prime.
|
|
EXAMPLE
|
2/3 + 3/5 +5/7 + 7/11 = 3023/1155. 3023 is prime, the third entry in the sequence.
|
|
PROGRAM
|
(PARI) consecpr2(n) = { s=0; y=0; forprime(x=2, n, y+=x/nextprime(x+1); z=numerator(y); s+=1./z; if(isprime(z), print1(z", ")) ); print(); print(s) }
|
|
CROSSREFS
|
Sequence in context: A012976 A013107 A024229 this_sequence A091688 A073444 A082259
Adjacent sequences: A094660 A094661 A094662 this_sequence A094664 A094665 A094666
|
|
KEYWORD
|
frac,nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Jun 06 2004
|
|
EXTENSIONS
|
The next term is too large to include.
|
|
|
Search completed in 0.002 seconds
|
