What is the 2101st prime number?
The 2101st prime number is 18329. The next prime is 18341 (a gap of 12) and the one before is 18313.
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 2101st one is 18329.
- 2
18329 is prime because no prime up to ā18329 ā 135.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2101st prime is close to 2101 Ć ln(2101) ā 16073, and here it is 18329.
- 4
18329 has no twin: neither 18327 nor 18331 is prime.
Primes around the 2101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2098 | 18307 | 6 |
| 2099 | 18311 | 4 |
| 2100 | 18313 | 2 |
| 2101 | 18329 | 16 |
| 2102 | 18341 | 12 |
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
Questions
What is the 2101st prime number?
18329.
Which prime number is 18329?
18329 is the 2101st prime number.
What is the sum of the first 2101 primes?
18,079,856.