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If a phrase adheres to a certain rule, I call it a Sexy Phrase™. enter image description here

Text-only version in CSV form:

"Loaded Ohio","Amazed Oatcake"
"Cuban Smack","Swag Pelecan"
"Alchemical Bonanza","Pagan Mailbag"
"Killer Gladius","Cider Fox"
"Acid Cable","Precambrian Beaverpelt"
"Alcoholics Alcoholised","Lakeshore Masochism"
"Estonian Dairymaids","Marine Teacup"
"Misraised Hamsters","Pigman Nemesis"
"Sinless Gooseboy","Radish Girls"
"Hyperlogical Persuasion","Glitch Bonding"
"Baked Clam","Flab Dance"
"Jackhammer Heartbreak","Lice Barn"
"Mammoth Flusher","Hair Lady"
"Lysol Potion","Iodized Gallbladder"
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  • 3
    $\begingroup$ I added a textual version. Feel free to remove if it in fact that's wrong somehow (e.g., details of typeface are critical). $\endgroup$ – Gareth McCaughan Nov 30 '19 at 17:11
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    $\begingroup$ Pelecan or Pelican? $\endgroup$ – Omega Krypton Nov 30 '19 at 17:26
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    $\begingroup$ Pelecan is correct. $\endgroup$ – Thomas Markov Nov 30 '19 at 17:28
  • $\begingroup$ But Pelecan isnt even a word $\endgroup$ – Omega Krypton Dec 2 '19 at 2:17
  • $\begingroup$ It’s an archaic form of pelican. en.m.wiktionary.org/wiki/pelecan $\endgroup$ – Thomas Markov Dec 2 '19 at 2:18
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These phrases have this property:

Take the word values using A=1 - Z = 26 gives:
Sexy Phrase™: Loaded → 12 + 15 + 1 + 4 + 5 + 4 = 41 and Ohio → 15 + 8 + 9 + 15 + 0 = 47
Not: Amazed → 1 + 13 + 1 + 26 + 5 + 4 = 50 and Oatcake → 15 + 1 + 20 + 3 + 1 + 11 + 5 = 56

Similarly, for the remaining pairs, as these six lines comparisons show:
Cuban Smack → 41 and 47, Swag Pelecan → 50 and 56
Alchemical Bonanza → 67 and 73, Pagan Mailbag → 39 and 45
Killer Gladius → 67 and 73, Cider Fox → 39 and 45
Acid Cable → 17 and 23, Precambrian Beaverpelt → 100 and 106
Alcoholics Alcoholised → 97 and 103, Lakeshore Masochism → 94 and 100
Estonian Dairymaids → 97 and 103, Marine Teacup → 60 and 66

The sums go up by six with the first pair prime. Not sexy pairs go up by six but are not both prime.

They are called a Sexy Phrase™ because

Sexy prime pairs are prime numbers that differ by 6. The name is from the Latin word for six: sex.

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