What is the 2237th prime number?
The 2237th prime number is 19759. The next prime is 19763 (a gap of 4) and the one before is 19753.
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 2237th one is 19759.
- 2
19759 is prime because no prime up to ā19759 ā 140.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2237th prime is close to 2237 Ć ln(2237) ā 17254, and here it is 19759.
- 4
19759 has no twin: neither 19757 nor 19761 is prime.
Primes around the 2237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
Questions
What is the 2237th prime number?
19759.
Which prime number is 19759?
19759 is the 2237th prime number.
What is the sum of the first 2237 primes?
20,673,878.