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This is in the spirit of the What is a Word/Phrase™ series started by JLee with Number version puzzles.

If a number conforms to a special rule, I call it a Hope & Love Number™.
Use the following examples below to find the rule.

$$ % set Title text. (spaces around the text ARE important; do not remove.) % increase Pad value only if your entries are longer than the title bar. % \def\Pad{\P{0.0}} \def\Title{\textbf{ Hope & Love }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\Title\textbf{Numbers}^{\;\!™}\Pad}\def\NT{\Pad\textbf{Not}\T\ }\displaystyle \smash{\lower{29px}\bbox[yellow]{\phantom{\rlap{rubio.2019.05.15}\S{6px}{0} \begin{array}{cc}\Pad\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\Pad\T&\NT\\\hline % \text{ 27 }&\text{ 26 }\\ \hline \text{ 39 }&\text{ 38 }\\ \hline \text{ 81 }&\text{ 80 }\\ \hline \text{ 199 }&\text{ 198 }\\ \hline \text{ 230 }&\text{ 229 }\\ \hline \text{ 596 }&\text{ 595 }\\ \hline \text{ 954 }&\text{ 953 }\\ \hline \text{ 1,490 }&\text{ 1,489 }\\ \hline \text{ 1,705 }&\text{ 1,704 }\\ \hline \text{ 2,509 }&\text{ 2,508 }\\ \hline \text{ 3,002 }&\text{ 3,001 }\\ \hline \text{ 3,900 }&\text{ 3,899 }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

Hope & Love Numbers™,Not Hope & Love Numbers™
27,26
39,38
81,80
199,198
230,229
596,595
954,953
1490,1489
1705,1704
2509,2508
3002,3001
3900,3899
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  • 1
    $\begingroup$ +1: Nice to see a number version :) $\endgroup$
    – user47134
    Sep 5, 2019 at 8:16
  • $\begingroup$ @Supersonic Because I'm at my wit's end with thinking new puzzle for Word version currently :P. $\endgroup$
    – Conifers
    Sep 5, 2019 at 8:25
  • $\begingroup$ @Conifers does hope and & love is having anything to do with it? or you just named it randomly? $\endgroup$
    – Sayed Mohd Ali
    Sep 5, 2019 at 8:55
  • 1
    $\begingroup$ @SayedMohdAli The title is always the first hint for the puzzle :D $\endgroup$
    – Conifers
    Sep 5, 2019 at 8:58
  • $\begingroup$ @Conifers yes, that is what I am thinking :P but I thought it would be easier to ask maybe I am wrong :P lot of time will get wasted... $\endgroup$
    – Sayed Mohd Ali
    Sep 5, 2019 at 8:59

1 Answer 1

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A Hope & Love number

has 5 letters in its Roman numeral representation.

Examples:

27 = XXVII, 39 = XXXIX, 81 = LXXXI, 199 = CXCIX, 230 = CCXXX, 596 = DXCVI, 954 = CMLIV, 1490 = MCDXC, 1705 = MDCCV, 2509 = MMDIX, 3002 = MMMII, 3900 = MMMCM

Counterexamples:

26 = XXVI, 38 = XXXVIII,80 = LXXX, 198 = CXCVIII, 229 = CCXXIX, 595 = DXCV, 953 = CMLIII, 1489 = MCDLXXXIX, 1704 = MDCCIV, 2508 = MMDVIII, 3001 = MMMI, 3899 = MMMDCCCXCIX

Possible title explanation (thanks Stiv!)

Romans 5's chapter title is "Peace and Hope", which is somewhat close to "Hope and Love".
Alternatively, the passage in Romans 5:5 involves both hope and love.

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2
  • $\begingroup$ Nice one +1 Re the title, rot13(V guvax lbh fubhyq ybbx hc gur puncgre urnqvat sbe Ebznaf 5 va n Ovoyr!) $\endgroup$
    – Stiv
    Sep 5, 2019 at 17:26
  • $\begingroup$ Yes, and God bless you! $\endgroup$
    – Conifers
    Sep 6, 2019 at 1:10

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