A249667 -id:A249667 - cp's OEIS frontend

A249676 Terms k of A249667 such that k-A151799(k) = A151800(k)-k.

6, 30, 50, 144, 300, 560, 610, 650, 660, 714, 780, 810, 816, 870, 1120, 1176, 1190, 1806, 2130, 2470, 2490, 2550, 2922, 3030, 3240, 3330, 3390, 3480, 3600, 3620, 3840, 4266, 4368, 5796, 5850, 6270, 6786, 6954, 7074, 7710, 8280, 9400, 9990, 10146, 10350, 10380, 10530, 10660, 11064

Offset: 1

Antonio Roldán, Dec 03 2014

nonn

			610 is in A249667: the least prime>610 is 613, and 610+613=1223 is prime; the largest prime<610 is 607, and 610+607=1217 is prime. Also, 613-610=610-607=3, then 610 is in the current sequence.

Cf. A249624, A249666, A249667.

{for(i=3,2*10^4,m=nextprime(i+1);k=i+m;n=precprime(i-1);q=i+n;if(isprime(k)&&isprime(q)&&m-i==i-n,print1(i,", ")))}

A249666 Numbers n such that the sum of n and the largest primeA151799(n)) is prime.

Original entry on oeis.org

3, 4, 6, 10, 12, 16, 22, 24, 30, 36, 42, 46, 50, 54, 56, 66, 70, 76, 78, 84, 90, 92, 100, 114, 116, 120, 126, 130, 132, 142, 144, 156, 160, 170, 174, 176, 180, 186, 192, 196, 202, 210, 220, 222, 226, 232, 234, 240, 246, 250, 252, 276, 280, 282, 286, 288, 294, 300, 306, 310, 324

Offset: 1

Antonio Roldán, Dec 03 2014

nonn

			66 is in the sequence because A151799(66)=61, and 66+61=127 is prime.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A151799, A249624, A249667, A249676.

Select[Range[400],PrimeQ[#+NextPrime[#,-1]]&] (* Harvey P. Dale, Aug 04 2019 *)

{for(i=3,10^3,k=i+precprime(i-1);if(isprime(k),print1(i,", ")))}

A249624 Numbers n such that the sum of n and the least prime>n (A151800(n)) is prime.

Original entry on oeis.org

0, 1, 2, 6, 8, 14, 18, 20, 24, 30, 34, 36, 38, 48, 50, 54, 64, 68, 78, 80, 84, 94, 96, 98, 104, 110, 114, 124, 132, 134, 138, 144, 154, 156, 164, 174, 182, 188, 198, 208, 210, 216, 220, 228, 230, 248, 252, 258, 260, 270, 284, 294, 300, 306, 308, 314, 322, 328, 330, 336, 344, 360

Offset: 1

Antonio Roldán, Dec 03 2014

nonn

			50 is in the sequence because A151800(50)=53, and 50+53=103 is prime.

Cf. A151800, A249666, A249667, A249676.

{for(i=0,10^3,k=i+nextprime(i+1);if(isprime(k),print1(i,", ")))}

cp's OEIS Frontend

A249676 Terms k of A249667 such that k-A151799(k) = A151800(k)-k.

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A249666 Numbers n such that the sum of n and the largest primeA151799(n)) is prime.

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PARI

A249624 Numbers n such that the sum of n and the least prime>n (A151800(n)) is prime.

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Author

Keywords

Examples

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PARI