What is the 2238th prime number?
The 2238th prime number is 19763. The next prime is 19777 (a gap of 14) and the one before is 19759.
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 2238th one is 19763.
- 2
19763 is prime because no prime up to ā19763 ā 140.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2238th prime is close to 2238 Ć ln(2238) ā 17262, and here it is 19763.
- 4
19763 has no twin: neither 19761 nor 19765 is prime.
Primes around the 2238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
Questions
What is the 2238th prime number?
19763.
Which prime number is 19763?
19763 is the 2238th prime number.
What is the sum of the first 2238 primes?
20,693,641.