A146316 -id:A146316 - cp's OEIS frontend

A146315 Prime differences of primes subtracted from nearest square.

2, 7, 11, 13, 23, 29, 31, 47, 53, 59, 61, 79, 83, 89, 97, 127, 131, 137, 139, 167, 173, 179, 191, 193, 223, 227, 233, 239, 251, 293, 307, 311, 313, 317, 359, 383, 389, 397, 439, 443, 461, 467, 479, 547, 557, 563, 569, 571, 647, 653, 659, 673, 727, 743, 761, 773

Offset: 1

Enoch Haga, Oct 30 2008

Terms in A146315 + A146316 produce a square

			a(6)=29 because when the prime 29 is subtracted from the square 36, the result is another prime, 7

Cf. A146316 - A146318.

10 'sq less pr are prime 20 N=1:O=1:C=1 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then 120 60 A=A+2 70 if A<=S then 40 80 R=O^2:Q=R-N 90 if N31 then stop 120 N=N+2:if N

{p in A000040: A068527(p) in A000040}. - R. J. Mathar, Sep 26 2011

A146318 Prime subtrahends of nearest cubes producing prime differences.

Original entry on oeis.org

3, 5, 41, 47, 53, 59, 61, 127, 137, 149, 157, 163, 173, 179, 193, 197, 199, 211, 349, 373, 409, 433, 439, 499, 509, 727, 743, 761, 773, 809, 821, 827, 863, 887, 911, 929, 941, 947, 953, 971, 977, 983, 997, 1361, 1381, 1447, 1451, 1459, 1471, 1487, 1489, 1499

Offset: 1

Enoch Haga, Oct 30 2008

Terms in A146317 + A146318 produce a cube

			a(3)=41 because when the prime 23 is subtracted from the cube 64, the result is another prime, 41

A146315 A146316 A146317

10 'cu less pr are prime 20 N=1:O=1 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then 120 60 A=A+2 70 if A<=S then 40 80 R=O^3:Q=R-N 90 if N

A146317 Prime differences of primes subtracted from nearest cube.

Original entry on oeis.org

5, 3, 23, 17, 11, 5, 3, 89, 79, 67, 59, 53, 43, 37, 23, 19, 17, 5, 163, 139, 103, 79, 73, 13, 3, 2, 257, 239, 227, 191, 179, 173, 137, 113, 89, 71, 59, 53, 47, 29, 23, 17, 3, 367, 347, 281, 277, 269, 257, 241, 239, 229, 197, 179, 157, 149, 131, 127, 109, 107, 101, 71, 61

Offset: 1

Enoch Haga, Oct 30 2008

Terms in A146317 + A146318 produce a cube

			a(3)=23 because when the prime 23 is subtracted from the cube 64, the result is another prime, 41

Robert Israel, Table of n, a(n) for n = 1..10000

A146315 A146316 A146318

R:= NULL: count:= 0: p:= 1:
while count < 100 do
  p:= nextprime(p);
  d:= ceil(p^(1/3))^3-p;
  if isprime(d) then count:= count+1; R:= R, d fi;
od:
R; # Robert Israel, Aug 06 2019

10 'cu less pr are prime 20 N=1:O=1 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then 120 60 A=A+2 70 if A<=S then 40 80 R=O^3:Q=R-N 90 if N

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A146315 Prime differences of primes subtracted from nearest square.

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A146318 Prime subtrahends of nearest cubes producing prime differences.

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A146317 Prime differences of primes subtracted from nearest cube.

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