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A077129 Smallest number which is relatively prime to all the numbers between successive odd primes. +0
2
3, 5, 7, 5, 11, 5, 13, 11, 7, 13, 7, 5, 7, 11, 13, 7, 17, 11, 5, 17, 7, 13, 11, 13, 5, 11, 5, 13, 37, 7, 13, 5, 17, 7, 23, 11, 7, 11, 13, 7, 29, 5, 11, 5, 31, 19, 11, 5, 13, 11, 7, 17, 13, 11, 13, 7, 19, 11, 5, 23, 29, 13, 5, 11, 31, 11, 29, 5, 17, 11, 17, 11, 19, 7, 13, 19, 11 (list; graph; listen)
OFFSET

0,1

COMMENT

Naturally every member is a prime.

EXAMPLE

a(5)= 11,is the smallest number coprime to all the numbers from 13 to 17 i.e. 14,15 and 16.

PROGRAM

(PARI) for(n=2, 100, for(i=2, 10^9, f=0:for(k=prime(n)+1, nextprime(prime(n)+1)-1, if(gcd(i, k)>1, f=1:break)): if(!f, print1(i", "):break)))

CROSSREFS

Sequence in context: A070949 A141574 A141261 this_sequence A073409 A151548 A071581

Adjacent sequences: A077126 A077127 A077128 this_sequence A077130 A077131 A077132

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 29 2002

EXTENSIONS

More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 27 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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