A101792 Primes of the form 8*k-1 such that 4*k-1 and 16*k-1 are primes.

23, 359, 719, 1439, 2039, 2063, 2903, 3023, 3623, 3863, 4919, 5399, 5639, 6983, 7079, 7823, 10799, 12263, 14159, 14303, 21383, 22343, 22943, 24239, 25799, 25919, 33623, 34319, 36383, 38639, 39983, 40823, 42023, 42359, 44543, 46199, 47639, 48479, 49103, 54959

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Example

4*3 - 1 = 11, 8*3 - 1 = 23 and 16*3 - 1 = 47 are primes, so 23 is a term.

Prog

(PARI) for(k=1, 7000, if(isprime(8*k-1)&&isprime(4*k-1)&&isprime(16*k-1), print1(8*k-1, ", "))) \\ Hugo Pfoertner, Sep 07 2021

Crossrefs

Cf. A002515, A101790, A101791, A101793.

Sequence in context: A118115 A020572 A021884 * A020346 A025964 A180361

Adjacent sequences: A101789 A101790 A101791 * A101793 A101794 A101795

Keyword

easy,nonn

Author

Douglas Stones (dssto1(AT)student.monash.edu.au), Dec 16 2004

Status

approved