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Search: id:A157789
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| A157789 |
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Primes p such that consecutive primes p<q<r<s all are additive pointer-primes A089824. |
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+0
1
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| 317130731, 521142283, 557010073, 1000702693, 1281321101, 1613435111, 1802692181, 2010808001, 2012656781, 2238160121, 2352422231, 3361114331, 4302122501, 4902109481, 5044120093, 6276507313, 6542906413, 7230842923
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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We may call these primes the additive pointer-primes of 4th order (and then A089824 are additive pointer-primes of 1st order).
Are there additive pointer-primes of higher than 4th order?
The only known 5th order additive pointer-prime < 10^12 is 102342031273 (Donovan Johnson Oct 25 2009).
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LINKS
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Donovan Johnson, Table of n, a(n) for n=1..345
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EXAMPLE
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p=317130731, q=317130757, r=317130791, s=317130823, t=317130851;
p + sod (p) = q, q + sod (q) = r, r + sod (q) = s, s + sod (s) =t;
p<q<r<s<t are consecutive primes, sod(m)=A007953(m).
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CROSSREFS
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Cf. A007953 Digital sum (i.e. sum of digits) of m, A089824 Primes p such that the next prime after p can be obtained from p by adding the sum of the digits of p.
Sequence in context: A034610 A015410 A105005 this_sequence A112429 A104923 A153753
Adjacent sequences: A157786 A157787 A157788 this_sequence A157790 A157791 A157792
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KEYWORD
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base,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Mar 06 2009
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EXTENSIONS
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a(13)-a(18) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 11 2009
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