Simon Singh, several of whose books I have reviewed before, had a mathematical contest where he was seeking numbers that fit this pattern:
For example, 5^(1+2)=125.
The contest closed yesterday, but it is still something people might want to play with. I found three additional solutions, listed below in AES (with the key ‘answers’). I also proved that there are no solutions other than the one above and those below.
##### Encrypted: decrypt with this AES tool
ZZZZZ WQKVD XWLVG REKEQ QONRX WDIFC HXCDB LVDSV UJJXT NDNWT DDRSJ RAQUG XPIUW NOFUD NFEGM GCQIF MFQPK FTCWR BWNFG SVWXS VHVOW CURXQ MXEKC QPETN FSOKB DPSFA KVHUW XTBQP HFRAD TGTUG JBLWN SOILW KNPQR FACRC COHIQ WUQCK TGLXD FWLEC FOQVE GFRUJ FHGJJ VTOOH BCLGE PPWTV BGDPA ECQEJ EKTPA BFTOT EWQXG RTUML WBFBN VGLWT LKXHP NMJHR JVQLW JWVFN EEUTJ FUDHS IWULC RFKID NRAUI TGDBJ VIHII LVOHE SLORI YYYYY
##### End encrypted message