A215433 -id:A215433 - cp's OEIS frontend

A274234 Numbers n such that n^1024 + (n+1)^1024 is prime.

1078, 2020, 2471, 3255, 4200, 5135, 5185, 6218, 6823, 7220, 8416, 9003, 9008, 9267, 9396, 9689, 10316, 11150, 11250, 11543, 11652, 12960, 14021, 14201, 16523, 16751, 17006, 17054, 17747, 17874, 18157, 18640, 18834, 20478, 20481, 20794, 21147, 22166, 22608, 22638, 24450, 24677, 24894, 25709

Offset: 1

Tim Johannes Ohrtmann, Jun 15 2016

nonn

The first five terms are certified primes, according to: factordb/certoverview.php. The others are probable primes. - Lewis Baxter, Jan 05 2021

Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.
Henri Lifchitz & Renaud Lifchitz, Search for : x^1024+y^1024.

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274235, A274236, A274237.

[n: n in [1..10000] |IsPrime(n^1024 + (n+1)^1024)]

Select[Range[1, 10000], PrimeQ[#^1024 + (#+1)^1024] &]

for(n=1, 10000, if(isprime(n^1024 + (n+1)^1024), print1(n, ", ")))

A274235 Numbers n such that n^2048 + (n+1)^2048 is prime.

Original entry on oeis.org

754, 1289, 1368, 1813, 3159, 3280, 3301, 4976, 6204, 6283, 6723, 6904, 7141, 10246, 11417, 13268, 15456, 19428, 19683, 19698, 20298, 21484, 22543, 23702, 23815, 24747, 27010, 32319, 34133, 36201, 37030, 39438, 41292, 44472, 47623, 50198, 51031, 51370, 51521, 52628, 53073, 53309, 53767, 55911, 56630, 59424

Offset: 1

Tim Johannes Ohrtmann, Jun 15 2016

nonn

The terms correspond only to probable primes.

Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.
Henri Lifchitz & Renaud Lifchitz, Search for : x^2048+y^2048.

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274236, A274237.

[n: n in [1..10000] |IsPrime(n^2048 + (n+1)^2048)];

Select[Range[1, 10000], PrimeQ[#^2048 + (#+1)^2048] &]

for(n=1, 10000, if(isprime(n^2048 + (n+1)^2048), print1(n, ", ")))

A274236 Numbers k such that k^4096 + (k+1)^4096 is prime.

Original entry on oeis.org

311, 2741, 3582, 5293, 6289, 12080, 14082, 16886, 17971, 19936, 21454, 21486, 26652, 26904, 28314, 34693, 35778, 36292, 40868, 43819, 46356, 46467, 49653, 53996, 57150, 58169, 64937, 67398, 77383, 82577, 86031, 86102, 87352, 87684, 89030, 93340, 95346, 97320, 98191, 111483, 113947, 118052, 125442, 125836, 126157, 127832, 130794

Offset: 1

Tim Johannes Ohrtmann, Jun 15 2016

nonn

The terms correspond only to probable primes.

Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.
Henri Lifchitz and Renaud Lifchitz, Search for : x^4096+y^4096.

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274235, A274237.

[n: n in [1..10000] |IsPrime(n^4096 + (n+1)^4096)];

Select[Range[1, 10000], PrimeQ[#^4096 + (#+1)^4096] &]

for(n=1, 10000, if(isprime(n^4096 + (n+1)^4096), print1(n, ", ")))

A274237 Numbers k such that k^8192 + (k+1)^8192 is prime.

Original entry on oeis.org

3508, 5209, 13428, 15347, 16339, 17779, 22548, 37726, 40408

Offset: 1

Tim Johannes Ohrtmann, Jun 15 2016

The terms correspond only to probable primes.

Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.
Henri Lifchitz and Renaud Lifchitz, Search for: x^8192+y^8192.

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274235, A274236.

[n: n in [1..10000] |IsPrime(n^8192 + (n+1)^8192)]

Select[Range[1, 10000], PrimeQ[#^8192 + (#+1)^8192] &]

for(n=1, 10000, if(isprime(n^8192 + (n+1)^8192), print1(n, ", ")))

cp's OEIS Frontend

A274234 Numbers n such that n^1024 + (n+1)^1024 is prime.

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A274235 Numbers n such that n^2048 + (n+1)^2048 is prime.

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Author

Keywords

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Programs

Magma

Mathematica

PARI

A274236 Numbers k such that k^4096 + (k+1)^4096 is prime.

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Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

A274237 Numbers k such that k^8192 + (k+1)^8192 is prime.

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Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI