What is the 3733rd prime number?
The 3733rd prime number is 35023. The next prime is 35027 (a gap of 4) and the one before is 34981.
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 3733rd one is 35023.
- 2
35023 is prime because no prime up to ā35023 ā 187.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3733rd prime is close to 3733 Ć ln(3733) ā 30704, and here it is 35023.
- 4
35023 has no twin: neither 35021 nor 35025 is prime.
Primes around the 3733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
| 3734 | 35027 | 4 |
| 3735 | 35051 | 24 |
| 3736 | 35053 | 2 |
Questions
What is the 3733rd prime number?
35023.
Which prime number is 35023?
35023 is the 3733rd prime number.
What is the sum of the first 3733 primes?
61,540,136.