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A108719
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Primes which can be partitioned into a sum of distinct primes in more than one way.
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0
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5, 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281
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OFFSET
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1,1
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COMMENTS
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Presumably this consists of all primes except 2, 3 and 11 - see A000586.
Prime p is in the sequence iff A000586(p)>1.
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LINKS
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FORMULA
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EXAMPLE
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5 is a member because 5 can be written in two ways: 5 = 2+3; 19 because 19 = 3+5+11.
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PROG
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(Python)
from sympy import prime
a = lambda n: prime(n+3) if n>2 else 3+(n<<1) # Darío Clavijo, Oct 23 2023
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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