What is the 2234th prime number?
The 2234th prime number is 19739. The next prime is 19751 (a gap of 12) and the one before is 19727.
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 2234th one is 19739.
- 2
19739 is prime because no prime up to ā19739 ā 140.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2234th prime is close to 2234 Ć ln(2234) ā 17228, and here it is 19739.
- 4
19739 has no twin: neither 19737 nor 19741 is prime.
Primes around the 2234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
Questions
What is the 2234th prime number?
19739.
Which prime number is 19739?
19739 is the 2234th prime number.
What is the sum of the first 2234 primes?
20,614,615.