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In addition to the workarounds pointed by @vdelecroix, you can use the following one:
sage: ZZ(p(11)).is_prime()
True
You can also use the is_pseudoprime
function, which does not require a previous coercion to the integers ring:
sage: is_pseudoprime(p(11))
True
For n≥264, if is_pseudoprime(
n)
returns True
, it is very likely, but not sure, that n is prime. For n<264, is_pseudoprime(
n)
is True
if and only if n is prime.