What is the 2036th prime number?
The 2036th prime number is 17737. The next prime is 17747 (a gap of 10) and the one before is 17729.
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 2036th one is 17737.
- 2
17737 is prime because no prime up to ā17737 ā 133.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2036th prime is close to 2036 Ć ln(2036) ā 15512, and here it is 17737.
- 4
17737 has no twin: neither 17735 nor 17739 is prime.
Primes around the 2036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
| 2036 | 17737 | 8 |
| 2037 | 17747 | 10 |
| 2038 | 17749 | 2 |
| 2039 | 17761 | 12 |
Questions
What is the 2036th prime number?
17737.
Which prime number is 17737?
17737 is the 2036th prime number.
What is the sum of the first 2036 primes?
16,906,665.