What is the 2034th prime number?
The 2034th prime number is 17713. The next prime is 17729 (a gap of 16) and the one before is 17707.
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 2034th one is 17713.
- 2
17713 is prime because no prime up to ā17713 ā 133.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2034th prime is close to 2034 Ć ln(2034) ā 15495, and here it is 17713.
- 4
17713 has no twin: neither 17711 nor 17715 is prime.
Primes around the 2034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
| 2036 | 17737 | 8 |
| 2037 | 17747 | 10 |
Questions
What is the 2034th prime number?
17713.
Which prime number is 17713?
17713 is the 2034th prime number.
What is the sum of the first 2034 primes?
16,871,199.