What is the 2136th prime number?
The 2136th prime number is 18713. The next prime is 18719 (a gap of 6) and the one before is 18701.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2136th one is 18713.
- 2
18713 is prime because no prime up to ā18713 ā 136.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2136th prime is close to 2136 Ć ln(2136) ā 16376, and here it is 18713.
- 4
18713 has no twin: neither 18711 nor 18715 is prime.
Primes around the 2136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
| 2136 | 18713 | 12 |
| 2137 | 18719 | 6 |
| 2138 | 18731 | 12 |
| 2139 | 18743 | 12 |
Questions
What is the 2136th prime number?
18713.
Which prime number is 18713?
18713 is the 2136th prime number.
What is the sum of the first 2136 primes?
18,727,793.