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Problems Archives

The problems archives table shows problems 1 to 699. If you would like to tackle the 10 most recently published problems then go to Recent problems.
Click the description/title of the problem to view details and submit your answer.


IDDescription / TitleSolved By
651Patterned Cylinders
138
652Distinct values of a proto-logarithmic function
135
653Frictionless Tube
248
654Neighbourly Constraints
267
655Divisible Palindromes
384
656Palindromic sequences
201
657Incomplete words
381
658Incomplete words II
191
659Largest prime
640
660Pandigital Triangles
240
661A Long Chess Match
182
662Fibonacci paths
531
663Sums of subarrays
263
664An infinite game
157
665Proportionate Nim
198
666Polymorphic Bacteria
211
667Moving Pentagon
168
668Square root smooth Numbers
744
669The King's Banquet
254
670Colouring a Strip
253
671Colouring a Loop
125
672One more one
210
673Beds and Desks
239
674Solving $\mathcal{I}$-equations
142
675$2^{\omega(n)}$
517
676Matching Digit Sums
180
677Coloured Graphs
139
678Fermat-like Equations
180
679Freefarea
552
680Yarra Gnisrever
150
681Maximal Area
175
6825-Smooth Pairs
207
683The Chase II
247
684Inverse Digit Sum
1021
685Inverse Digit Sum II
150
686Powers of Two
1314
687Shuffling Cards
198
688Piles of Plates
484
689Binary Series
170
690Tom and Jerry
138
691Long substring with many repetitions
205
692Siegbert and Jo
557
693Finite Sequence Generator
212
694Cube-full Divisors
471
695Random Rectangles
134
696Mahjong
67
697Randomly Decaying Sequence
340
698123 Numbers
257
699Triffle Numbers
109