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A334143 a(n) = bitwise NOR of prime(n) and prime(n+1). 1
0, 0, 0, 0, 0, 2, 12, 8, 0, 0, 0, 18, 20, 16, 0, 0, 0, 0, 56, 48, 48, 32, 36, 6, 26, 24, 16, 16, 2, 0, 0, 116, 116, 96, 104, 96, 64, 88, 80, 64, 72, 64, 0, 58, 56, 40, 32, 0, 24, 18, 16, 0, 4, 4, 248, 240, 240, 224, 226, 228, 192, 200, 200, 192, 194, 128, 164 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..67.

Wikipedia, Bitwise operation

FORMULA

a(n) = A035327(A175329(n)).

EXAMPLE

a(6) = prime(6) NOR prime(7) = 13 NOR 17 = 2.

MAPLE

a:= n-> Bits[Nor](ithprime(n), ithprime(n+1)):

seq(a(n), n=1..70);  # Alois P. Heinz, Apr 15 2020

PROG

(Python)

def NORprime(n):

    s = str(bin(primes[n]))[2:]

    t = str(bin(primes[n-1]))[2:]

    k = (len(s) -  len(t))

    t = k*'0' + t

    r = ''

    for i in range(len(s)):

        if s[i] == t[i] and s[i] == '0':

            r += '1'

        else:

            r += '0'

    return int(r, 2)

(PARI) a(n) = my(x=bitor(prime(n), prime(n+1))); bitneg(x, #binary(x)); \\ Michel Marcus, Apr 16 2020

CROSSREFS

Cf. A000040, A112591, A145382, A175330.

Sequence in context: A133437 A245692 A182126 * A306699 A332920 A266511

Adjacent sequences:  A334140 A334141 A334142 * A334144 A334145 A334146

KEYWORD

nonn,base

AUTHOR

Christoph Schreier, Apr 15 2020

STATUS

approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)