A094480 -id:A094480 - cp's OEIS frontend

A094476 Primes of form 2^j + 17^j.

2, 19, 293, 83537

Offset: 1

Labos Elemer, Jun 01 2004

nonn

The number j must be zero or a power of 2. Checked j being powers of two through 2^20. Thus a(5) > 10^2500000. Primes of this magnitude are rare (about 1 in 5.9 million), so chance of finding one is remote with today's computer algorithms and speeds. - Robert Price, Apr 29 2013

			j=0: p=1+1=2;j=1: p=2+17=19;j=2: p=4+289=293;j=4: p=16+83521=83537; the j exponents are powers of 2.

Cf. A082101, A094473-A094480.

Select[Table[2^n+17^n,{n,0,2000}],PrimeQ] (* Harvey P. Dale, Nov 27 2012 *)

A094482 Primes of form 2^j + 137^j.

Original entry on oeis.org

2, 139, 18773, 124097929967680577

Offset: 1

Labos Elemer, Jun 01 2004

nonn

The number j must be zero or a power of 2. Checked j being powers of two through 2^20. Thus a(5) > 10^4400000. Primes of this magnitude are rare (about 1 in 10.3 million), so chance of finding one is remote with today's computer algorithms and speeds. - Robert Price, Apr 29 2013

			j=0: p=1+1=2; j=1: p=2+59=61; j=2: p=4+18769=18773; j=8: p=256+37^8=124097929967680577; the j exponents are powers of 2.

Cf. A082101, A094473-A094480, A045637.

A094478 Primes of form 2^j + 59^j.

Original entry on oeis.org

2, 61, 12117377, 464798130469793589516643498190087912509935907401081390977

Offset: 1

Labos Elemer, Jun 01 2004

nonn

The number j must be zero or a power of 2. Checked j being powers of two through 2^21. Thus a(5) > 10^2900000. Primes of this magnitude are rare (about 1 in 6.7 million), so chance of finding one is remote with today's computer algorithms and speeds. - Robert Price, Apr 28 2013

			j=0: p=1+1=2;
j=1: p=2+59=61;
j=4: p=16+12117361=12117377;
j=32: p=2^32+59^32=464798130469793589516643498190087912509935907401081390977;
the j exponents are powers of 2.

Cf. A082101, A094473-A094480.

cp's OEIS Frontend

A094476 Primes of form 2^j + 17^j.

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A094482 Primes of form 2^j + 137^j.

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A094478 Primes of form 2^j + 59^j.

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