What is the 3735th prime number?
The 3735th prime number is 35051. The next prime is 35053 (a gap of 2) and the one before is 35027.
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 3735th one is 35051.
- 2
35051 is prime because no prime up to ā35051 ā 187.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3735th prime is close to 3735 Ć ln(3735) ā 30722, and here it is 35051.
- 4
35051 is a twin prime: 35051 and 35053 are both prime.
Primes around the 3735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
| 3734 | 35027 | 4 |
| 3735 | 35051 | 24 |
| 3736 | 35053 | 2 |
| 3737 | 35059 | 6 |
| 3738 | 35069 | 10 |
Questions
What is the 3735th prime number?
35051.
Which prime number is 35051?
35051 is the 3735th prime number.
What is the sum of the first 3735 primes?
61,610,214.