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Search: id:A145896
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| A145896 |
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Values of m: where m^2 begins a run of consecutive squares satisfying r=p+4*m^2 with a sequence of primes |
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+0
3
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| 3, 6, 2, 1, 8, 4, 7, 1, 2, 1, 1, 1, 19, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 2, 1, 4, 1, 1, 1, 1, 1, 2, 2, 1, 7, 3, 4, 1, 1, 2, 7, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Suggested by Farideh Firoozbakht's Puzzle 464 in Carlos Rivera's The Prime Puzzles & Problems Connection
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EXAMPLE
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a(1)=3 because when m is 3 a sequence of three values of r end with prime 37; then r=1+4*1^1=5, prime; and r=1+4*2^2=17, prime; and r=1+4*3^2=37, prime (and the next value of m, 4, does not produce a prime because r=1+4*4^2=65). For this one value 1 is assumed prime.
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PROGRAM
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(Other) UBASIC: 10 'p464 20 N=1 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then 100 60 A=A+2 70 if A<=S then 40 80 M=M+1:R=N+4*M^2:if R=prmdiv(R) and M<100 then print N; R; M:goto 80 90 if M>=1 then stop 100 M=0:N=N+2:goto 30
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CROSSREFS
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A145897 A145898 A145741
Sequence in context: A058178 A058078 A016551 this_sequence A159963 A120907 A133358
Adjacent sequences: A145893 A145894 A145895 this_sequence A145897 A145898 A145899
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Oct 25 2008
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