What is the 2235th prime number?
The 2235th prime number is 19751. The next prime is 19753 (a gap of 2) and the one before is 19739.
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 2235th one is 19751.
- 2
19751 is prime because no prime up to ā19751 ā 140.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2235th prime is close to 2235 Ć ln(2235) ā 17236, and here it is 19751.
- 4
19751 is a twin prime: 19751 and 19753 are both prime.
Primes around the 2235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
Questions
What is the 2235th prime number?
19751.
Which prime number is 19751?
19751 is the 2235th prime number.
What is the sum of the first 2235 primes?
20,634,366.