Primes whose Digits are Consecutive Ascending from 1
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Sequence
The prime numbers consisting of strings of consecutive ascending digits starting from $1$ (allowing either $0$ or $1$ to follow $9$) begins:
- $1 \, 234 \, 567 \, 891, 12 \, 345 \, 678 \, 901 \, 234 \, 567 \, 891, 1 \, 234 \, 567 \, 891 \, 234 \, 567 \, 891 \, 234 \, 567 \, 891$
It is not known whether there exist any more.
Historical Note
According to David Wells in his $1986$ work Curious and Interesting Numbers, this set of $3$ primes was reported by Joseph Steven Madachy in Journal of Recreational Mathematics Volume $10$, but details are lacking.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1,234,567,891$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1,234,567,891$