What is the 2035th prime number?
The 2035th prime number is 17729. The next prime is 17737 (a gap of 8) and the one before is 17713.
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 2035th one is 17729.
- 2
17729 is prime because no prime up to ā17729 ā 133.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2035th prime is close to 2035 Ć ln(2035) ā 15503, and here it is 17729.
- 4
17729 has no twin: neither 17727 nor 17731 is prime.
Primes around the 2035th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
| 2036 | 17737 | 8 |
| 2037 | 17747 | 10 |
| 2038 | 17749 | 2 |
Questions
What is the 2035th prime number?
17729.
Which prime number is 17729?
17729 is the 2035th prime number.
What is the sum of the first 2035 primes?
16,888,928.