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 A343587 Decimal expansion of prime nested prime(n)-th roots. 1
 1, 9, 0, 9, 0, 5, 8, 1, 1, 1, 4, 4, 1, 9, 2, 2, 0, 2, 6, 8, 8, 5, 8, 3, 1, 4, 2, 8, 5, 6, 2, 8, 1, 8, 8, 4, 9, 0, 2, 2, 2, 7, 2, 6, 0, 2, 6, 4, 3, 8, 9, 4, 1, 8, 4, 6, 6, 3, 2, 0, 1, 8, 6, 6, 4, 7, 2, 3, 8, 4, 6, 7, 9, 2, 1, 1, 9, 3, 7, 8, 4, 6, 1, 2, 4, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Paolo Xausa, Table of n, a(n) for n = 1..10000 Wikipedia, Nested radical FORMULA (2 + (3 + (5 + (7 + (prime(n) + ...)^(1/prime(n)))^(1/7))^(1/5))^(1/3))^(1/2). EXAMPLE 1.90905811144192202688583142856281884902227260264389418466320186647238... MATHEMATICA RealDigits[Fold[Surd[#1+#2, #2]&, 0, Prime[Range[55, 1, -1]]], 10, 200][[1]] (* Paolo Xausa, Mar 04 2023 *) PROG (PARI) localprec(100); N=100; my(p=prime(N), x=0); for (k=1, N, x = (x + p)^(1/p); p = precprime(p-1); ); x \\ Michel Marcus, Apr 21 2021 CROSSREFS Cf. A000040, A105546, A296547. Sequence in context: A167545 A272965 A059058 * A021015 A372947 A010680 Adjacent sequences: A343584 A343585 A343586 * A343588 A343589 A343590 KEYWORD nonn,cons AUTHOR Paolo Xausa, Apr 21 2021 EXTENSIONS More terms from Paolo Xausa, Mar 04 2023 STATUS approved

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Last modified August 6 06:53 EDT 2024. Contains 374960 sequences. (Running on oeis4.)