A194113 -id:A194113 - cp's OEIS frontend

A319167 Primes p such that A194113(p) is a prime.

13, 29, 31, 347, 367, 431, 487, 491, 557, 601, 787, 823, 883, 1117, 1327, 1741, 1789, 1973, 2269, 2447, 2473, 2621, 2657, 2801, 3049, 3079, 3203, 3469, 3539, 3559, 3821, 4019, 4051, 4229, 4549, 5081, 5297, 5393, 5569, 5651, 5689, 5821, 5987

Offset: 1

Marius A. Burtea, Sep 12 2018

nonn

			For p=13, A194113(13)=281; for p=31, A194113(31)=1553; for p=2801, A194113(2801) = 12408013. Numbers 13, 281, 31, 1553, 2801, 12408013 are primes.

Marius A. Burtea, Table of n, a(n) for n = 1..435

Cf. A194113.

A318957 Numbers k such that A194113(k) is a prime.

Original entry on oeis.org

1, 13, 26, 29, 31, 44, 45, 50, 66, 69, 102, 106, 125, 177, 182, 183, 196, 198, 230, 238, 266, 278, 279, 287, 291, 299, 309, 315, 333, 334, 338, 343, 347, 367, 385, 390, 398, 415, 423, 431, 436, 451, 455, 458, 473, 487, 491, 493, 512, 517, 518, 522, 529, 539, 542, 545, 557, 566, 589

Offset: 1

Marius A. Burtea, Sep 24 2018

nonn

			For k=1, A194113(1)=3;
for k=13, A194113(13)=281;
for k=26, A194113(26)=1097.

Cf. A194113.

isok(n) = isprime(sum(k=1, n, floor(k*sqrt(10)))); \\ Michel Marcus, Sep 26 2018

A177102 Beatty sequence for sqrt(10).

Original entry on oeis.org

3, 6, 9, 12, 15, 18, 22, 25, 28, 31, 34, 37, 41, 44, 47, 50, 53, 56, 60, 63, 66, 69, 72, 75, 79, 82, 85, 88, 91, 94, 98, 101, 104, 107, 110, 113, 117, 120, 123, 126, 129, 132, 135, 139, 142, 145, 148, 151, 154, 158, 161, 164, 167, 170, 173, 177, 180, 183

Offset: 1

Clark Kimberling, Aug 16 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Cf. A010467, A194113.

Partial sums of A081168.

[Floor(n*Sqrt(10)): n in [1..60]]; // Vincenzo Librandi, Oct 24 2011

Mathematica
```
Table[Floor[n*Sqrt[10]],{n,1,100}]
```

for(n=1,50, print1(floor(n*sqrt(10)), ", ")) \\ G. C. Greubel, Sep 24 2017

a(n) = floor(n*sqrt(10)).

cp's OEIS Frontend

A319167 Primes p such that A194113(p) is a prime.

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A318957 Numbers k such that A194113(k) is a prime.

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PARI

A177102 Beatty sequence for sqrt(10).

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PARI

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