From: Jon Schoenfield (jonscho(AT)hiwaay.net), Oct 11 2008 Here is a list with 851 lines, each of which represents the base-2 log of the base-2 log of one of the distinct values I found for n=12. 1024 1025 1026 1028 1029 1032 1040 11 12 13 131 132 133 136 14 144 15 16 16384 16385 17 19 2^(2^(2^(2^(2^(2^17))))) 2^(2^(2^(2^(2^(2^256))))) 2^(2^(2^(2^(2^(2^32))))) 2^(2^(2^(2^(2^(2^65536))))) 2^(2^(2^(2^(2^17)))) 2^(2^(2^(2^(2^17))))+1 2^(2^(2^(2^(2^17)))+1) 2^(2^(2^(2^(2^17))+1)) 2^(2^(2^(2^(2^17)+1))) 2^(2^(2^(2^(2^17+1)))) 2^(2^(2^(2^(2^18)))) 2^(2^(2^(2^(2^256))))+1 2^(2^(2^(2^(2^256)))+1) 2^(2^(2^(2^(2^256))+1)) 2^(2^(2^(2^(2^256)+1))) 2^(2^(2^(2^(2^256+1)))) 2^(2^(2^(2^(2^257)))) 2^(2^(2^(2^(2^32)))) 2^(2^(2^(2^(2^32))))+1 2^(2^(2^(2^(2^32)))+1) 2^(2^(2^(2^(2^32))+1)) 2^(2^(2^(2^(2^32)+1))) 2^(2^(2^(2^(2^32+1)))) 2^(2^(2^(2^(2^33)))) 2^(2^(2^(2^(2^512)))) 2^(2^(2^(2^(2^64)))) 2^(2^(2^(2^(2^65536)))) 2^(2^(2^(2^(2^65536))))+1 2^(2^(2^(2^(2^65536)))+1) 2^(2^(2^(2^(2^65536))+1)) 2^(2^(2^(2^(2^65536)+1))) 2^(2^(2^(2^(2^65536+1)))) 2^(2^(2^(2^(2^65537)))) 2^(2^(2^(2^1024))) 2^(2^(2^(2^128))) 2^(2^(2^(2^17)))+1 2^(2^(2^(2^17)))+2 2^(2^(2^(2^17))+1) 2^(2^(2^(2^17))+1)+1 2^(2^(2^(2^17))+2) 2^(2^(2^(2^17)+1)) 2^(2^(2^(2^17)+1))+1 2^(2^(2^(2^17)+1)+1) 2^(2^(2^(2^17)+2)) 2^(2^(2^(2^17+1))) 2^(2^(2^(2^17+1)))+1 2^(2^(2^(2^17+1))+1) 2^(2^(2^(2^17+1)+1)) 2^(2^(2^(2^17+2))) 2^(2^(2^(2^18))) 2^(2^(2^(2^18)))+1 2^(2^(2^(2^18))+1) 2^(2^(2^(2^18)+1)) 2^(2^(2^(2^18+1))) 2^(2^(2^(2^19))) 2^(2^(2^(2^20))) 2^(2^(2^(2^256))) 2^(2^(2^(2^256)))+2 2^(2^(2^(2^256))+1)+1 2^(2^(2^(2^256))+2) 2^(2^(2^(2^256)+1))+1 2^(2^(2^(2^256)+1)+1) 2^(2^(2^(2^256)+2)) 2^(2^(2^(2^256+1)))+1 2^(2^(2^(2^256+1))+1) 2^(2^(2^(2^256+1)+1)) 2^(2^(2^(2^256+2))) 2^(2^(2^(2^257)))+1 2^(2^(2^(2^257))+1) 2^(2^(2^(2^257)+1)) 2^(2^(2^(2^257+1))) 2^(2^(2^(2^258))) 2^(2^(2^(2^32)))+1 2^(2^(2^(2^32)))+2 2^(2^(2^(2^32))+1) 2^(2^(2^(2^32))+1)+1 2^(2^(2^(2^32))+2) 2^(2^(2^(2^32)+1)) 2^(2^(2^(2^32)+1))+1 2^(2^(2^(2^32)+1)+1) 2^(2^(2^(2^32)+2)) 2^(2^(2^(2^32+1))) 2^(2^(2^(2^32+1)))+1 2^(2^(2^(2^32+1))+1) 2^(2^(2^(2^32+1)+1)) 2^(2^(2^(2^32+2))) 2^(2^(2^(2^33))) 2^(2^(2^(2^33)))+1 2^(2^(2^(2^33))+1) 2^(2^(2^(2^33)+1)) 2^(2^(2^(2^33+1))) 2^(2^(2^(2^34))) 2^(2^(2^(2^512)))+1 2^(2^(2^(2^512))+1) 2^(2^(2^(2^512)+1)) 2^(2^(2^(2^512+1))) 2^(2^(2^(2^513))) 2^(2^(2^(2^64))) 2^(2^(2^(2^64)))+1 2^(2^(2^(2^64))+1) 2^(2^(2^(2^64)+1)) 2^(2^(2^(2^64+1))) 2^(2^(2^(2^65))) 2^(2^(2^(2^65536)))+1 2^(2^(2^(2^65536)))+2 2^(2^(2^(2^65536))+1) 2^(2^(2^(2^65536))+1)+1 2^(2^(2^(2^65536))+2) 2^(2^(2^(2^65536)+1)) 2^(2^(2^(2^65536)+1))+1 2^(2^(2^(2^65536)+1)+1) 2^(2^(2^(2^65536)+2)) 2^(2^(2^(2^65536+1))) 2^(2^(2^(2^65536+1)))+1 2^(2^(2^(2^65536+1))+1) 2^(2^(2^(2^65536+1)+1)) 2^(2^(2^(2^65536+2))) 2^(2^(2^(2^65537))) 2^(2^(2^(2^65537)))+1 2^(2^(2^(2^65537))+1) 2^(2^(2^(2^65537)+1)) 2^(2^(2^(2^65537+1))) 2^(2^(2^(2^65538))) 2^(2^(2^1024))+1 2^(2^(2^1024)+1) 2^(2^(2^1024+1)) 2^(2^(2^1025)) 2^(2^(2^128)) 2^(2^(2^128))+1 2^(2^(2^128)+1) 2^(2^(2^128+1)) 2^(2^(2^129)) 2^(2^(2^17))+2 2^(2^(2^17))+3 2^(2^(2^17))+4 2^(2^(2^17)+1)+1 2^(2^(2^17)+1)+2 2^(2^(2^17)+2) 2^(2^(2^17)+2)+1 2^(2^(2^17)+3) 2^(2^(2^17)+4) 2^(2^(2^17+1))+1 2^(2^(2^17+1))+2 2^(2^(2^17+1)+1) 2^(2^(2^17+1)+1)+1 2^(2^(2^17+1)+2) 2^(2^(2^17+2)) 2^(2^(2^17+2))+1 2^(2^(2^17+2)+1) 2^(2^(2^17+3)) 2^(2^(2^17+4)) 2^(2^(2^18))+1 2^(2^(2^18))+2 2^(2^(2^18)+1) 2^(2^(2^18)+1)+1 2^(2^(2^18)+2) 2^(2^(2^18+1)) 2^(2^(2^18+1))+1 2^(2^(2^18+1)+1) 2^(2^(2^18+2)) 2^(2^(2^19)) 2^(2^(2^19))+1 2^(2^(2^19)+1) 2^(2^(2^19+1)) 2^(2^(2^20)) 2^(2^(2^20))+1 2^(2^(2^20)+1) 2^(2^(2^20+1)) 2^(2^(2^2048)) 2^(2^(2^21)) 2^(2^(2^24)) 2^(2^(2^256)) 2^(2^(2^256))+1 2^(2^(2^256))+3 2^(2^(2^256))+4 2^(2^(2^256)+1) 2^(2^(2^256)+1)+2 2^(2^(2^256)+2)+1 2^(2^(2^256)+3) 2^(2^(2^256)+4) 2^(2^(2^256+1)) 2^(2^(2^256+1))+2 2^(2^(2^256+1)+1)+1 2^(2^(2^256+1)+2) 2^(2^(2^256+2))+1 2^(2^(2^256+2)+1) 2^(2^(2^256+3)) 2^(2^(2^256+4)) 2^(2^(2^257)) 2^(2^(2^257))+2 2^(2^(2^257)+1)+1 2^(2^(2^257)+2) 2^(2^(2^257+1))+1 2^(2^(2^257+1)+1) 2^(2^(2^257+2)) 2^(2^(2^258))+1 2^(2^(2^258)+1) 2^(2^(2^258+1)) 2^(2^(2^259)) 2^(2^(2^260)) 2^(2^(2^32)) 2^(2^(2^32))+2 2^(2^(2^32))+3 2^(2^(2^32))+4 2^(2^(2^32)+1)+1 2^(2^(2^32)+1)+2 2^(2^(2^32)+2) 2^(2^(2^32)+2)+1 2^(2^(2^32)+3) 2^(2^(2^32)+4) 2^(2^(2^32+1))+1 2^(2^(2^32+1))+2 2^(2^(2^32+1)+1) 2^(2^(2^32+1)+1)+1 2^(2^(2^32+1)+2) 2^(2^(2^32+2)) 2^(2^(2^32+2))+1 2^(2^(2^32+2)+1) 2^(2^(2^32+3)) 2^(2^(2^32+4)) 2^(2^(2^33))+1 2^(2^(2^33))+2 2^(2^(2^33)+1) 2^(2^(2^33)+1)+1 2^(2^(2^33)+2) 2^(2^(2^33+1)) 2^(2^(2^33+1))+1 2^(2^(2^33+1)+1) 2^(2^(2^33+2)) 2^(2^(2^34)) 2^(2^(2^34))+1 2^(2^(2^34)+1) 2^(2^(2^34+1)) 2^(2^(2^35)) 2^(2^(2^36)) 2^(2^(2^4096)) 2^(2^(2^512)) 2^(2^(2^512))+2 2^(2^(2^512)+1)+1 2^(2^(2^512)+2) 2^(2^(2^512+1))+1 2^(2^(2^512+1)+1) 2^(2^(2^512+2)) 2^(2^(2^513))+1 2^(2^(2^513)+1) 2^(2^(2^513+1)) 2^(2^(2^514)) 2^(2^(2^64))+1 2^(2^(2^64))+2 2^(2^(2^64)+1) 2^(2^(2^64)+1)+1 2^(2^(2^64)+2) 2^(2^(2^64+1)) 2^(2^(2^64+1))+1 2^(2^(2^64+1)+1) 2^(2^(2^64+2)) 2^(2^(2^65)) 2^(2^(2^65))+1 2^(2^(2^65)+1) 2^(2^(2^65+1)) 2^(2^(2^65536))+2 2^(2^(2^65536))+3 2^(2^(2^65536))+4 2^(2^(2^65536)+1)+1 2^(2^(2^65536)+1)+2 2^(2^(2^65536)+2) 2^(2^(2^65536)+2)+1 2^(2^(2^65536)+3) 2^(2^(2^65536)+4) 2^(2^(2^65536+1))+1 2^(2^(2^65536+1))+2 2^(2^(2^65536+1)+1) 2^(2^(2^65536+1)+1)+1 2^(2^(2^65536+1)+2) 2^(2^(2^65536+2)) 2^(2^(2^65536+2))+1 2^(2^(2^65536+2)+1) 2^(2^(2^65536+3)) 2^(2^(2^65536+4)) 2^(2^(2^65537))+1 2^(2^(2^65537))+2 2^(2^(2^65537)+1) 2^(2^(2^65537)+1)+1 2^(2^(2^65537)+2) 2^(2^(2^65537+1)) 2^(2^(2^65537+1))+1 2^(2^(2^65537+1)+1) 2^(2^(2^65537+2)) 2^(2^(2^65538)) 2^(2^(2^65538))+1 2^(2^(2^65538)+1) 2^(2^(2^65538+1)) 2^(2^(2^65539)) 2^(2^(2^65540)) 2^(2^(2^66)) 2^(2^1024) 2^(2^1024)+2 2^(2^1024+1)+1 2^(2^1024+2) 2^(2^1025)+1 2^(2^1025+1) 2^(2^1026) 2^(2^128)+1 2^(2^128)+2 2^(2^128+1) 2^(2^128+1)+1 2^(2^128+2) 2^(2^129) 2^(2^129)+1 2^(2^129+1) 2^(2^130) 2^(2^17) 2^(2^17)+16 2^(2^17)+3 2^(2^17)+4 2^(2^17)+5 2^(2^17)+8 2^(2^17+1)+2 2^(2^17+1)+3 2^(2^17+1)+4 2^(2^17+16) 2^(2^17+2)+1 2^(2^17+2)+2 2^(2^17+3) 2^(2^17+3)+1 2^(2^17+4) 2^(2^17+4)+1 2^(2^17+5) 2^(2^17+8) 2^(2^18)+2 2^(2^18)+3 2^(2^18)+4 2^(2^18+1)+1 2^(2^18+1)+2 2^(2^18+2) 2^(2^18+2)+1 2^(2^18+3) 2^(2^18+4) 2^(2^19)+1 2^(2^19)+2 2^(2^19+1) 2^(2^19+1)+1 2^(2^19+2) 2^(2^20) 2^(2^20)+1 2^(2^20)+2 2^(2^20+1) 2^(2^20+1)+1 2^(2^20+2) 2^(2^2048)+1 2^(2^2048+1) 2^(2^2049) 2^(2^21) 2^(2^21)+1 2^(2^21+1) 2^(2^22) 2^(2^24) 2^(2^24)+1 2^(2^24+1) 2^(2^25) 2^(2^256) 2^(2^256)+1 2^(2^256)+16 2^(2^256)+2 2^(2^256)+4 2^(2^256)+5 2^(2^256)+8 2^(2^256+1) 2^(2^256+1)+1 2^(2^256+1)+3 2^(2^256+1)+4 2^(2^256+16) 2^(2^256+2) 2^(2^256+2)+2 2^(2^256+3)+1 2^(2^256+4) 2^(2^256+4)+1 2^(2^256+5) 2^(2^256+8) 2^(2^257) 2^(2^257)+1 2^(2^257)+3 2^(2^257)+4 2^(2^257+1) 2^(2^257+1)+2 2^(2^257+2)+1 2^(2^257+3) 2^(2^257+4) 2^(2^258) 2^(2^258)+2 2^(2^258+1)+1 2^(2^258+2) 2^(2^259)+1 2^(2^259+1) 2^(2^260) 2^(2^260)+1 2^(2^260+1) 2^(2^261) 2^(2^264) 2^(2^272) 2^(2^32) 2^(2^32)+1 2^(2^32)+16 2^(2^32)+3 2^(2^32)+4 2^(2^32)+5 2^(2^32)+8 2^(2^32+1) 2^(2^32+1)+2 2^(2^32+1)+3 2^(2^32+1)+4 2^(2^32+16) 2^(2^32+2)+1 2^(2^32+2)+2 2^(2^32+3) 2^(2^32+3)+1 2^(2^32+4) 2^(2^32+4)+1 2^(2^32+5) 2^(2^32+8) 2^(2^33) 2^(2^33)+2 2^(2^33)+3 2^(2^33)+4 2^(2^33+1)+1 2^(2^33+1)+2 2^(2^33+2) 2^(2^33+2)+1 2^(2^33+3) 2^(2^33+4) 2^(2^34)+1 2^(2^34)+2 2^(2^34+1) 2^(2^34+1)+1 2^(2^34+2) 2^(2^35) 2^(2^35)+1 2^(2^35+1) 2^(2^36) 2^(2^36)+1 2^(2^36+1) 2^(2^37) 2^(2^40) 2^(2^4096) 2^(2^4096)+1 2^(2^4096+1) 2^(2^4097) 2^(2^48) 2^(2^512) 2^(2^512)+1 2^(2^512)+3 2^(2^512)+4 2^(2^512+1) 2^(2^512+1)+2 2^(2^512+2)+1 2^(2^512+3) 2^(2^512+4) 2^(2^513) 2^(2^513)+2 2^(2^513+1)+1 2^(2^513+2) 2^(2^514)+1 2^(2^514+1) 2^(2^515) 2^(2^516) 2^(2^64)+2 2^(2^64)+3 2^(2^64)+4 2^(2^64+1)+1 2^(2^64+1)+2 2^(2^64+2) 2^(2^64+2)+1 2^(2^64+3) 2^(2^64+4) 2^(2^65)+1 2^(2^65)+2 2^(2^65+1) 2^(2^65+1)+1 2^(2^65+2) 2^(2^65536) 2^(2^65536)+16 2^(2^65536)+3 2^(2^65536)+4 2^(2^65536)+5 2^(2^65536)+8 2^(2^65536+1)+2 2^(2^65536+1)+3 2^(2^65536+1)+4 2^(2^65536+16) 2^(2^65536+2)+1 2^(2^65536+2)+2 2^(2^65536+3) 2^(2^65536+3)+1 2^(2^65536+4) 2^(2^65536+4)+1 2^(2^65536+5) 2^(2^65536+8) 2^(2^65537)+2 2^(2^65537)+3 2^(2^65537)+4 2^(2^65537+1)+1 2^(2^65537+1)+2 2^(2^65537+2) 2^(2^65537+2)+1 2^(2^65537+3) 2^(2^65537+4) 2^(2^65538)+1 2^(2^65538)+2 2^(2^65538+1) 2^(2^65538+1)+1 2^(2^65538+2) 2^(2^65539) 2^(2^65539)+1 2^(2^65539+1) 2^(2^65540) 2^(2^65540)+1 2^(2^65540+1) 2^(2^65541) 2^(2^65544) 2^(2^65552) 2^(2^66) 2^(2^66)+1 2^(2^66+1) 2^(2^67) 2^(2^68) 2^(2^8192) 2^1024 2^1024+1 2^1024+3 2^1024+4 2^1025 2^1025+2 2^1026+1 2^1027 2^1028 2^128+2 2^128+3 2^128+4 2^129+1 2^129+2 2^130 2^130+1 2^131 2^132 2^16384 2^17 2^17+1 2^17+16 2^17+17 2^17+256 2^17+32 2^17+4 2^17+5 2^17+6 2^17+65536 2^17+8 2^17+9 2^18 2^18+16 2^18+3 2^18+4 2^18+5 2^18+8 2^19+2 2^19+3 2^19+4 2^20+1 2^20+2 2^20+3 2^20+4 2^2048 2^2048+2 2^2049+1 2^2050 2^21 2^21+1 2^21+2 2^22 2^22+1 2^23 2^24 2^24+1 2^24+2 2^25 2^25+1 2^256+1 2^256+16 2^256+17 2^256+2 2^256+256 2^256+3 2^256+32 2^256+4 2^256+5 2^256+6 2^256+65536 2^256+9 2^257 2^257+1 2^257+16 2^257+2 2^257+4 2^257+5 2^257+8 2^258 2^258+1 2^258+3 2^258+4 2^259 2^259+2 2^26 2^260 2^260+1 2^260+2 2^261 2^261+1 2^262 2^264+1 2^265 2^272 2^272+1 2^273 2^288 2^32 2^32+1 2^32+16 2^32+17 2^32+2 2^32+256 2^32+32 2^32+4 2^32+5 2^32+6 2^32+65536 2^32+8 2^32+9 2^33 2^33+1 2^33+16 2^33+3 2^33+4 2^33+5 2^33+8 2^34 2^34+2 2^34+3 2^34+4 2^35+1 2^35+2 2^36 2^36+1 2^36+2 2^37 2^37+1 2^38 2^40 2^40+1 2^4096 2^4096+1 2^4096+2 2^4097 2^4097+1 2^4098 2^41 2^48 2^48+1 2^49 2^512 2^512+1 2^512+16 2^512+2 2^512+4 2^512+5 2^512+8 2^513 2^513+1 2^513+3 2^513+4 2^514 2^514+2 2^515+1 2^516 2^516+1 2^517 2^520 2^528 2^64 2^64+16 2^64+3 2^64+4 2^64+5 2^64+8 2^65+2 2^65+3 2^65+4 2^65536+1 2^65536+16 2^65536+17 2^65536+256 2^65536+32 2^65536+4 2^65536+5 2^65536+6 2^65536+65536 2^65536+8 2^65536+9 2^65537 2^65537+16 2^65537+3 2^65537+4 2^65537+5 2^65537+8 2^65538+2 2^65538+3 2^65538+4 2^65539+1 2^65539+2 2^65540 2^65540+1 2^65540+2 2^65541 2^65541+1 2^65542 2^65544 2^65544+1 2^65545 2^65552 2^65552+1 2^65553 2^65568 2^65792 2^66+1 2^66+2 2^67 2^67+1 2^68 2^68+1 2^69 2^72 2^80 2^8192 2^8192+1 2^8193 20 2048 2049 2051 2052 22 23 24 25 258 259 26 260 261 262 263 264 266 27 272 273 274 28 288 289 320 32768 33 34 35 36 37 38 39 40 4096 4097 4098 4099 41 4100 42 48 49 50 513 514 515 516 517 518 521 528 529 544 64 65 65536 65538 65541 65542 65543 65544 65545 65546 65552 65553 65554 65568 65569 65600 65792 65793 66048 68 69 70 72 73 768 80 81 8192 8193 8194 96