What is the 3734th prime number?
The 3734th prime number is 35027. The next prime is 35051 (a gap of 24) and the one before is 35023.
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 3734th one is 35027.
- 2
35027 is prime because no prime up to ā35027 ā 187.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3734th prime is close to 3734 Ć ln(3734) ā 30713, and here it is 35027.
- 4
35027 has no twin: neither 35025 nor 35029 is prime.
Primes around the 3734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
| 3734 | 35027 | 4 |
| 3735 | 35051 | 24 |
| 3736 | 35053 | 2 |
| 3737 | 35059 | 6 |
Questions
What is the 3734th prime number?
35027.
Which prime number is 35027?
35027 is the 3734th prime number.
What is the sum of the first 3734 primes?
61,575,163.