A075568 Rearrangement of noncomposite numbers such that every partial sum is composite.

1, 3, 2, 19, 5, 47, 7, 11, 13, 17, 23, 29, 31, 37, 41, 43, 53, 59, 61, 71, 67, 73, 79, 83, 89, 101, 97, 103, 107, 113, 109, 131, 127, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 229, 227, 239, 233, 241, 251, 257, 263, 271, 269

Offset

1,2

Comments

Conjectured to consist of consecutive primes after 53. (See also comments in A123055.)

Links

Table of n, a(n) for n=1..59.

Prog

(PARI) v=vector(1000000):s=1:for(n=1, 100, f=0:forprime(p=2, 1000000, if(!v[p]&&!isprime(s+p), f=p:break)): if(f, print1(f", "):v[f]=1:s=s+f, print1("0, ")))

Crossrefs

First differences of A123055 (except for the leading 1). - N. J. A. Sloane, Sep 26 2006

Sequence in context: A317831 A078073 A317927 * A366377 A057026 A032448

Adjacent sequences: A075565 A075566 A075567 * A075569 A075570 A075571

Keyword

nonn

Author

Amarnath Murthy, Sep 25 2002

Extensions

More terms from Ralf Stephan, Mar 30 2003

Status

approved