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Difference between revisions of "Woodall prime P 2 table"

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{{DISPLAYTITLE:Near Woodall primes of the form {{Kbn|(n±1)|2|n}}}}
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{{DISPLAYTITLE:Near Woodall primes of the form {{Kbn|(n+1)|2|n}}}}
 
==Definition==
 
==Definition==
  
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! No. !! n !! Digits !! Number !! Normalized form !! Discoverer !! Date
 
! No. !! n !! Digits !! Number !! Normalized form !! Discoverer !! Date
 
|-
 
|-
−
| 1 || 1 || 1 || {{Kbn|2|1}} || [[Riesel prime 1|{{Kbn|2}}]] || n.n. || n.n.
+
| 1 || 1 || 1 || {{Kbn|2|1}} || [[Riesel prime 2 1|{{Kbn|2}}]] || n.n. || n.n.
 
|-
 
|-
−
| 2 || 2 || 2 || {{Kbn|3|2}} || [[Riesel prime 3|{{Kbn|3|2}}]] || n.n. || n.n.
+
| 2 || 2 || 2 || {{Kbn|3|2}} || [[Riesel prime 2 3|{{Kbn|3|2}}]] || n.n. || n.n.
 
|-
 
|-
−
| 3 || 3 || 2 || {{Kbn|4|3}} || [[Riesel prime 1|{{Kbn|5}}]] || n.n. || n.n.
+
| 3 || 3 || 2 || {{Kbn|4|3}} || [[Riesel prime 2 1|{{Kbn|5}}]] || n.n. || n.n.
 
|-
 
|-
−
| 4 || 4 || 2 || {{Kbn|5|4}} || [[Riesel prime 5|{{Kbn|5|4}}]] || n.n. || n.n.
+
| 4 || 4 || 2 || {{Kbn|5|4}} || [[Riesel prime 2 5|{{Kbn|5|4}}]] || n.n. || n.n.
 
|-
 
|-
−
| 5 || 5 || 3 || {{Kbn|6|5}} || [[Riesel prime 3|{{Kbn|3|6}}]] || n.n. || n.n.
+
| 5 || 5 || 3 || {{Kbn|6|5}} || [[Riesel prime 2 3|{{Kbn|3|6}}]] || n.n. || n.n.
 
|-
 
|-
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| 6 || 9 || 4 || {{Kbn|10|9}} || [[Riesel prime 5|{{Kbn|5|10}}]] || n.n. || n.n.
+
| 6 || 9 || 4 || {{Kbn|10|9}} || [[Riesel prime 2 5|{{Kbn|5|10}}]] || n.n. || n.n.
 
|-
 
|-
−
| 7 || 14 || 6 || {{Kbn|15|14}} || [[Riesel prime 15|{{Kbn|15|14}}]] || n.n. || n.n.
+
| 7 || 14 || 6 || {{Kbn|15|14}} || [[Riesel prime 2 15|{{Kbn|15|14}}]] || n.n. || n.n.
 
|-
 
|-
−
| 8 || 15 || 6 || {{Kbn|16|15}} || [[Riesel prime 1|{{Kbn|19}}]] || n.n. || n.n.
+
| 8 || 15 || 6 || {{Kbn|16|15}} || [[Riesel prime 2 1|{{Kbn|19}}]] || n.n. || n.n.
 
|-
 
|-
−
| 9 || 16 || 7 || {{Kbn|17|16}} || [[Riesel prime 17|{{Kbn|17|16}}]] || n.n. || n.n.
+
| 9 || 16 || 7 || {{Kbn|17|16}} || [[Riesel prime 2 17|{{Kbn|17|16}}]] || n.n. || n.n.
 
|-
 
|-
−
| 10 || 27 || 10 || {{Kbn|28|27}} || [[Riesel prime 7|{{Kbn|7|29}}]] || n.n. || n.n.
+
| 10 || 27 || 10 || {{Kbn|28|27}} || [[Riesel prime 2 7|{{Kbn|7|29}}]] || n.n. || n.n.
 
|-
 
|-
−
| 11 || 45 || 16 || {{Kbn|46|45}} || [[Riesel prime 23|{{Kbn|23|46}}]] || n.n. || n.n.
+
| 11 || 45 || 16 || {{Kbn|46|45}} || [[Riesel prime 2 23|{{Kbn|23|46}}]] || n.n. || n.n.
 
|-
 
|-
−
| 12 || 122 || 39 || {{Kbn|123|122}} || [[Riesel prime 123|{{Kbn|123|122}}]] || n.n. || n.n.
+
| 12 || 122 || 39 || {{Kbn|123|122}} || [[Riesel prime 2 123|{{Kbn|123|122}}]] || n.n. || n.n.
 
|-
 
|-
−
| 13 || 125 || 40 || {{Kbn|126|125}} || [[Riesel prime 63|{{Kbn|63|126}}]] || n.n. || n.n.
+
| 13 || 125 || 40 || {{Kbn|126|125}} || [[Riesel prime 2 63|{{Kbn|63|126}}]] || n.n. || n.n.
 
|-
 
|-
−
| 14 || 213 || 67 || {{Kbn|214|213}} || [[Riesel prime 107|{{Kbn|107|214}}]] || n.n. || n.n.
+
| 14 || 213 || 67 || {{Kbn|214|213}} || [[Riesel prime 2 107|{{Kbn|107|214}}]] || n.n. || n.n.
 
|-
 
|-
−
| 15 || 242 || 76 || {{Kbn|243|242}} || [[Riesel prime 243|{{Kbn|243|242}}]] || n.n. || n.n.
+
| 15 || 242 || 76 || {{Kbn|243|242}} || [[Riesel prime 2 243|{{Kbn|243|242}}]] || n.n. || n.n.
 
|-
 
|-
−
| 16 || 256 || 80 || {{Kbn|257|256}} || [[Riesel prime 257|{{Kbn|257|256}}]] || n.n. || n.n.
+
| 16 || 256 || 80 || {{Kbn|257|256}} || [[Riesel prime 2 257|{{Kbn|257|256}}]] || n.n. || n.n.
 
|-
 
|-
−
| 17 || 263 || 82 || {{Kbn|264|263}} || [[Riesel prime 33|{{Kbn|33|266}}]] || n.n. || n.n.
+
| 17 || 263 || 82 || {{Kbn|264|263}} || [[Riesel prime 2 33|{{Kbn|33|266}}]] || n.n. || n.n.
 
|-
 
|-
−
| 18 || 290 || 90 || {{Kbn|291|290}} || [[Riesel prime 291|{{Kbn|291|290}}]] || n.n. || n.n.
+
| 18 || 290 || 90 || {{Kbn|291|290}} || [[Riesel prime 2 291|{{Kbn|291|290}}]] || n.n. || n.n.
 
|-
 
|-
−
| 19 || 855 || 261 || {{Kbn|856|855}} || [[Riesel prime 107|{{Kbn|107|858}}]] || n.n. || n.n.
+
| 19 || 855 || 261 || {{Kbn|856|855}} || [[Riesel prime 2 107|{{Kbn|107|858}}]] || n.n. || n.n.
 
|-
 
|-
−
| 20 || 1059 || 322 || {{Kbn|1060|1059}} || [[Riesel prime 265|{{Kbn|265|1061}}]] || n.n. || n.n.
+
| 20 || 1059 || 322 || {{Kbn|1060|1059}} || [[Riesel prime 2 265|{{Kbn|265|1061}}]] || n.n. || n.n.
 
|-
 
|-
−
| 21 || 2273 || 688 || {{Kbn|2274|2273}} || [[Riesel prime 1137|{{Kbn|1137|2274}}]] || n.n. || n.n.
+
| 21 || 2273 || 688 || {{Kbn|2274|2273}} || [[Riesel prime 2 1137|{{Kbn|1137|2274}}]] || n.n. || n.n.
 
|-
 
|-
−
| 22 || 3945 || 1192 || {{Kbn|3946|3945}} || [[Riesel prime 1973|{{Kbn|1973|3946}}]] || n.n. || n.n.
+
| 22 || 3945 || 1192 || {{Kbn|3946|3945}} || [[Riesel prime 2 1973|{{Kbn|1973|3946}}]] || n.n. || n.n.
 
|-
 
|-
−
| 23 || 3999 || 1208 || {{Kbn|4000|3999}} || [[Riesel prime 125|{{Kbn|125|4004}}]] || n.n. || n.n.
+
| 23 || 3999 || 1208 || {{Kbn|4000|3999}} || [[Riesel prime 2 125|{{Kbn|125|4004}}]] || n.n. || n.n.
 
|-
 
|-
−
| 24 || 9512 || 2868 || {{Kbn|9513|9512}} || [[Riesel prime 9513|{{Kbn|9513|9512}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 24 || 9512 || 2868 || {{Kbn|9513|9512}} || [[Riesel prime 2 9513|{{Kbn|9513|9512}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 25 || {{T5000|27021|14127}} || 4257 || {{Kbn|14128|14127}} || [[Riesel prime 883|{{Kbn|883|14131}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 25 || {{T5000|27021|14127}} || 4257 || {{Kbn|14128|14127}} || [[Riesel prime 2 883|{{Kbn|883|14131}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 26 || {{T5000|25566|16486}} || 4967 || {{Kbn|16487|16486}} || [[Riesel prime 16487|{{Kbn|16487|16486}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 26 || {{T5000|25566|16486}} || 4967 || {{Kbn|16487|16486}} || [[Riesel prime 2 16487|{{Kbn|16487|16486}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 27 || {{T5000|22658|20056}} || 6042 || {{Kbn|20057|20056}} || [[Riesel prime 20057|{{Kbn|20057|20056}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 27 || {{T5000|22658|20056}} || 6042 || {{Kbn|20057|20056}} || [[Riesel prime 2 20057|{{Kbn|20057|20056}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 28 || {{T5000|18742|28834}} || 8685 || {{Kbn|28835|28834}} || [[Riesel prime 28835|{{Kbn|28835|28834}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 28 || {{T5000|18742|28834}} || 8685 || {{Kbn|28835|28834}} || [[Riesel prime 2 28835|{{Kbn|28835|28834}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 29 || {{T5000|15177|41493}} || 12496 || {{Kbn|41494|41493}} || [[Riesel prime 20747|{{Kbn|20747|41494}}]] || [[Henry Lifchitz]] || 1998-07-03
+
| 29 || {{T5000|15177|41493}} || 12496 || {{Kbn|41494|41493}} || [[Riesel prime 2 20747|{{Kbn|20747|41494}}]] || [[Henri Lifchitz]] || 1998-07-03
 
|-
 
|-
−
| 30 || {{T5000|1152|159147}} || 47914 || {{Kbn|159148|159147}} || [[Riesel prime 39787|{{Kbn|39787|159149}}]] || [[Ray Ballinger]] || 2000-05-19
+
| 30 || {{T5000|1152|159147}} || 47914 || {{Kbn|159148|159147}} || [[Riesel prime 2 39787|{{Kbn|39787|159149}}]] || [[Ray Ballinger]] || 2000-05-19
 
|-
 
|-
−
| 31 || {{T5000|356|227139}} || 68382 || {{Kbn|227140|227139}} || [[Riesel prime 56785|{{Kbn|56785|227141}}]] || [[Ray Ballinger]] || 2000-07-28
+
| 31 || {{T5000|356|227139}} || 68382 || {{Kbn|227140|227139}} || [[Riesel prime 2 56785|{{Kbn|56785|227141}}]] || [[Ray Ballinger]] || 2000-07-28
 
|-
 
|-
−
| 32 || {{T5000|89940|587823}} || 176959 || {{Kbn|587824|587823}} || [[Riesel prime 36739|{{Kbn|36739|587827}}]] || [[Steven Harvey]] || 2009-09-11
+
| 32 || {{T5000|89940|587823}} || 176959 || {{Kbn|587824|587823}} || [[Riesel prime 2 36739|{{Kbn|36739|587827}}]] || [[Steven Harvey]] || 2009-09-11
 
|}
 
|}
  
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==External links==
 
==External links==
−
[[Category:Gen. Woodall prime P| ]]
+
[[Category:Woodall prime P| ]]

Latest revision as of 07:48, 30 October 2024

Definition

History

Table

No. n Digits Number Normalized form Discoverer Date
1 1 1 2•21-1 22-1 n.n. n.n.
2 2 2 3•22-1 3•22-1 n.n. n.n.
3 3 2 4•23-1 25-1 n.n. n.n.
4 4 2 5•24-1 5•24-1 n.n. n.n.
5 5 3 6•25-1 3•26-1 n.n. n.n.
6 9 4 10•29-1 5•210-1 n.n. n.n.
7 14 6 15•214-1 15•214-1 n.n. n.n.
8 15 6 16•215-1 219-1 n.n. n.n.
9 16 7 17•216-1 17•216-1 n.n. n.n.
10 27 10 28•227-1 7•229-1 n.n. n.n.
11 45 16 46•245-1 23•246-1 n.n. n.n.
12 122 39 123•2122-1 123•2122-1 n.n. n.n.
13 125 40 126•2125-1 63•2126-1 n.n. n.n.
14 213 67 214•2213-1 107•2214-1 n.n. n.n.
15 242 76 243•2242-1 243•2242-1 n.n. n.n.
16 256 80 257•2256-1 257•2256-1 n.n. n.n.
17 263 82 264•2263-1 33•2266-1 n.n. n.n.
18 290 90 291•2290-1 291•2290-1 n.n. n.n.
19 855 261 856•2855-1 107•2858-1 n.n. n.n.
20 1059 322 1060•21059-1 265•21061-1 n.n. n.n.
21 2273 688 2274•22273-1 1137•22274-1 n.n. n.n.
22 3945 1192 3946•23945-1 1973•23946-1 n.n. n.n.
23 3999 1208 4000•23999-1 125•24004-1 n.n. n.n.
24 9512 2868 9513•29512-1 9513•29512-1 Henri Lifchitz 1998-07-03
25 14127 4257 14128•214127-1 883•214131-1 Henri Lifchitz 1998-07-03
26 16486 4967 16487•216486-1 16487•216486-1 Henri Lifchitz 1998-07-03
27 20056 6042 20057•220056-1 20057•220056-1 Henri Lifchitz 1998-07-03
28 28834 8685 28835•228834-1 28835•228834-1 Henri Lifchitz 1998-07-03
29 41493 12496 41494•241493-1 20747•241494-1 Henri Lifchitz 1998-07-03
30 159147 47914 159148•2159147-1 39787•2159149-1 Ray Ballinger 2000-05-19
31 227139 68382 227140•2227139-1 56785•2227141-1 Ray Ballinger 2000-07-28
32 587823 176959 587824•2587823-1 36739•2587827-1 Steven Harvey 2009-09-11

See also

External links

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