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A029710 Primes such that next prime is 4 greater. +0
14
7, 13, 19, 37, 43, 67, 79, 97, 103, 109, 127, 163, 193, 223, 229, 277, 307, 313, 349, 379, 397, 439, 457, 463, 487, 499, 613, 643, 673, 739, 757, 769, 823, 853, 859, 877, 883, 907, 937, 967, 1009, 1087, 1093, 1213, 1279, 1297, 1303, 1423, 1429 (list; graph; listen)
OFFSET

1,1

COMMENT

Union with A124588 gives A124589. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 23 2006

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A031505(n+1) - 4 = A029708(n) - 2.

EXAMPLE

79 is a term as the next prime is 79 + 4 = 83. 3 is not a term even though 3+4 = 7 is prime, since it is not the next one.

MAPLE

for i from 1 to 226 do if ithprime(i+1) = ithprime(i) + 4 then print({ithprime(i)}); fi; od; . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 19 2007

CROSSREFS

Essentially the same as A023200.

Cf. A001359.

Sequence in context: A048646 A098059 A078860 this_sequence A078863 A059351 A059262

Adjacent sequences: A029707 A029708 A029709 this_sequence A029711 A029712 A029713

KEYWORD

nonn

AUTHOR

njas

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Last modified July 4 13:19 EDT 2008. Contains 140839 sequences.


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