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 A277801 a(n) = 2^(n - 1) - prime(n). 0
 -1, -1, -1, 1, 5, 19, 47, 109, 233, 483, 993, 2011, 4055, 8149, 16337, 32715, 65477, 131011, 262077, 524217, 1048503, 2097073, 4194221, 8388519, 16777119, 33554331, 67108761, 134217621, 268435347, 536870799, 1073741697, 2147483517, 4294967159, 8589934453, 17179869035 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Obviously all terms are odd. Only the first three terms are negative. The law of small numbers says there are not enough small numbers for all the demands placed on them. I think one of those demands is that there be a strong correlation between the powers of 2 and the prime numbers. The first four primes and the first four powers of 2 deliver. But then the powers of 2 rise, literally, exponentially, leaving the primes behind in the dust. LINKS FORMULA a(n) is approximately 2^(n - 1). MATHEMATICA Table[2^(n - 1) - Prime[n], {n, 35}] CROSSREFS Cf. A111209. Sequence in context: A293457 A243895 A024191 * A328191 A100104 A015650 Adjacent sequences:  A277798 A277799 A277800 * A277802 A277803 A277804 KEYWORD sign,easy AUTHOR Alonso del Arte, Oct 31 2016 STATUS approved

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Last modified August 14 18:32 EDT 2020. Contains 336483 sequences. (Running on oeis4.)