What is the 3430th prime number?
The 3430th prime number is 31973. The next prime is 31981 (a gap of 8) and the one before is 31963.
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 3430th one is 31973.
- 2
31973 is prime because no prime up to ā31973 ā 178.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3430th prime is close to 3430 Ć ln(3430) ā 27921, and here it is 31973.
- 4
31973 has no twin: neither 31971 nor 31975 is prime.
Primes around the 3430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
Questions
What is the 3430th prime number?
31973.
Which prime number is 31973?
31973 is the 3430th prime number.
What is the sum of the first 3430 primes?
51,403,613.