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A028388
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Good primes (version 2): p_n such that (p_n)^2 > p_{n-i}p_{n+i} for all 1 <= i <= n-1.
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11
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5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307, 311, 331, 347, 419, 431, 541, 557, 563, 569, 587, 593, 599, 641, 727, 733, 739, 809, 821, 853, 929, 937, 967, 1009, 1031, 1087, 1151, 1213, 1277
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Selfridge conjectured, and Pomerance proved, that there are infinitely many numbers in this sequence. Pomerance asks if the sequence has density 0.
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REFERENCES
| Guy, R. K. `Good' Primes and the Prime Number Graph. A14 in Unsolved Problems in Number Theory, 2nd ed. Springer-Verlag, pp. 32-33, 1994.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..10000
Carl Pomerance, The prime number graph, Mathematics of Computation 33:145 (1979), pp. 399-408.
Eric Weisstein's World of Mathematics, Good Prime
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CROSSREFS
| Cf. A046869.
Sequence in context: A023489 A108294 A046869 * A067606 A184247 A046135
Adjacent sequences: A028385 A028386 A028387 * A028389 A028390 A028391
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KEYWORD
| nonn
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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