What is the 3245th prime number?
The 3245th prime number is 29989. The next prime is 30011 (a gap of 22) and the one before is 29983.
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 3245th one is 29989.
- 2
29989 is prime because no prime up to ā29989 ā 173.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3245th prime is close to 3245 Ć ln(3245) ā 26235, and here it is 29989.
- 4
29989 has no twin: neither 29987 nor 29991 is prime.
Primes around the 3245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
Questions
What is the 3245th prime number?
29989.
Which prime number is 29989?
29989 is the 3245th prime number.
What is the sum of the first 3245 primes?
45,675,864.