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

Author

Ray G. Opao, Jun 20 2020

Keywords

• base
• nonn

Examples

			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.
		

Crossrefs

Normal bemirps are defined in A048895.

Programs

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)