What are the next two numbers in this sequence?
2, 5, 13, 31, 61, 109, ??, ??
Looking at the list of Prime numbers:
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277
The Primes in our sequence are the nth prime where
n=1,3,6,11,18,29,__,__
The difference between consecutive values of n is
2,3,5,7,11,13,17 - the sequence of Primes itself. Fillling in for the next two terms in this sequence, 13 and 17, gives 181 and 277.
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Posted by Eric
on 2006-01-26 16:58:11 |
Solution
