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A108022 a(1)=2; a(n) is the smallest prime such that a(n)-a(n-1) is a 4th power (>0). 1
2, 3, 19, 160019, 1049920019, 1050730019, 1051540019, 12910750019, 13960510019, 14167870019, 67252030019, 67252840019, 67318450019, 196918450019, 197968210019, 568118770019, 568119580019, 938270140019, 938477500019 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All members after 19 will end in '0019'.
Also, for n > 3, a(n) - a(n - 1) = k^4, k is a multiple of 30. - Zak Seidov, Apr 09 2013
LINKS
EXAMPLE
a(3)=19, for 19 +k^4 to be prime, k must be even and divisible by 5. 19+10^4=10019=43*233,but 19+20^4 is prime.
MATHEMATICA
Join[{2, 3, 19, p=160019}, Table[x=30; While[!PrimeQ[q=p+x^4], x=x+30]; p=q, {19}]] (* Zak Seidov, Apr 09 2013 *)
CROSSREFS
Sequence in context: A254380 A099069 A038584 * A108884 A119584 A344546
KEYWORD
nonn
AUTHOR
John L. Drost, May 31 2005
STATUS
approved

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Last modified May 22 02:24 EDT 2024. Contains 372741 sequences. (Running on oeis4.)