What is the 2153rd prime number?
The 2153rd prime number is 18917. The next prime is 18919 (a gap of 2) and the one before is 18913.
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 2153rd one is 18917.
- 2
18917 is prime because no prime up to ā18917 ā 137.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2153rd prime is close to 2153 Ć ln(2153) ā 16523, and here it is 18917.
- 4
18917 is a twin prime: 18917 and 18919 are both prime.
Primes around the 2153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
Questions
What is the 2153rd prime number?
18917.
Which prime number is 18917?
18917 is the 2153rd prime number.
What is the sum of the first 2153 primes?
19,047,652.