What is the 435th prime number?
The 435th prime number is 3037. The next prime is 3041 (a gap of 4) and the one before is 3023.
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 435th one is 3037.
- 2
3037 is prime because no prime up to ā3037 ā 55.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 435th prime is close to 435 Ć ln(435) ā 2643, and here it is 3037.
- 4
3037 has no twin: neither 3035 nor 3039 is prime.
Primes around the 435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 432 | 3011 | 10 |
| 433 | 3019 | 8 |
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
| 436 | 3041 | 4 |
| 437 | 3049 | 8 |
| 438 | 3061 | 12 |
Questions
What is the 435th prime number?
3037.
Which prime number is 3037?
3037 is the 435th prime number.
What is the sum of the first 435 primes?
608,914.