A335731 Bemirps that also interpret 2 and 5 as upside-down forms of each other, assuming a digital font.

1061, 1091, 1601, 1901, 10061, 10091, 16001, 19001, 106861, 109891, 110651, 110921, 120121, 121021, 121921, 129011, 129121, 150151, 151051, 151651, 156011, 156151, 168601, 198901, 1022591, 1026521, 1028011, 1055261, 1058011, 1059251, 1069291, 1096561, 1102891, 1105861, 1106881, 1108201, 1108501, 1109881, 1111651

Offset

1,1

Links

Table of n, a(n) for n=1..39.

Example

110651 is in the list as its upside-down form 110921, and its emirp 156011, and the emirp of its upside-down form 129011, are all primes and uniquely different numbers.

Prog

(Python)
from sympy.ntheory import isprime as isp
def ip(pp):
    rr = []
    for qq in pp:
        if qq=="0" or qq=="1" or qq=="8":
            rr.append(qq)
        elif qq=="2":
            rr.append("5")
        elif qq=="5":
            rr.append("2")
        elif qq=="6":
            rr.append("9")
        elif qq=="9":
            rr.append("6")
    return "".join(rr)
for bb in range(1, 10000000):
    if isp(bb):
        bb = str(bb)
        if ("7" not in bb) and ("4" not in bb) and ("3" not in bb):
            cc = bb[::-1]
            dd = ip(bb)
            ee = ip(cc)
            if bb!=cc and dd!=ee and bb!=dd and bb!=ee and cc!=dd and cc!=ee and isp(int(cc)) and isp(int(dd)) and isp(int(ee)):
                print(bb)

Crossrefs

Normal bemirps are defined in A048895.

Sequence in context: A237795 A276355 A294164 * A048895 A020374 A142822

Adjacent sequences: A335728 A335729 A335730 * A335732 A335733 A335734

Keyword

base,nonn

Author

Ray G. Opao, Jun 20 2020

Status

approved