A051770 Numbers n such that there exists a binomial coefficient C(n,k) where C(n,k)-1 and C(n,k)+1 are twin primes and 2<=k<=floor(n/2).

4, 11, 54, 69, 77, 89, 91, 155, 173, 199, 202, 202, 208, 218, 245, 272, 286, 293, 293, 323, 324, 347, 368, 370, 373, 379, 413, 489, 512, 514, 533, 549, 552, 558, 637, 650, 674, 731, 749, 759, 771, 773, 782, 783, 787, 811, 849, 850, 883, 896, 902, 927, 937

Offset

1,1

Comments

The integer 202 occurs twice because both C(202,34) and C(202,69) yield twin prime pairs.

Links

Table of n, a(n) for n=1..53.

Source

Example

The integer 11 is a member of the sequence because C(11,5)=462 and 461 and 463 are twin primes.

Crossrefs

A051735, A051771.

Sequence in context: A218957 A149317 A027042 * A262006 A209110 A363664

Adjacent sequences: A051767 A051768 A051769 * A051771 A051772 A051773

Keyword

nonn

Author

Joe DeMaio (jdemaio(AT)kennesaw.edu), Dec 08 1999

Status

approved