What is the 430th prime number?
The 430th prime number is 2999. The next prime is 3001 (a gap of 2) and the one before is 2971.
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 430th one is 2999.
- 2
2999 is prime because no prime up to ā2999 ā 54.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 430th prime is close to 430 Ć ln(430) ā 2607, and here it is 2999.
- 4
2999 is a twin prime: 2999 and 3001 are both prime.
Primes around the 430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 427 | 2963 | 6 |
| 428 | 2969 | 6 |
| 429 | 2971 | 2 |
| 430 | 2999 | 28 |
| 431 | 3001 | 2 |
| 432 | 3011 | 10 |
| 433 | 3019 | 8 |
Questions
What is the 430th prime number?
2999.
Which prime number is 2999?
2999 is the 430th prime number.
What is the sum of the first 430 primes?
593,823.