What is the 2157th prime number?
The 2157th prime number is 18973. The next prime is 18979 (a gap of 6) and the one before is 18959.
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 2157th one is 18973.
- 2
18973 is prime because no prime up to ā18973 ā 137.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2157th prime is close to 2157 Ć ln(2157) ā 16558, and here it is 18973.
- 4
18973 has no twin: neither 18971 nor 18975 is prime.
Primes around the 2157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
Questions
What is the 2157th prime number?
18973.
Which prime number is 18973?
18973 is the 2157th prime number.
What is the sum of the first 2157 primes?
19,123,450.