What is the 3244th prime number?
The 3244th prime number is 29983. The next prime is 29989 (a gap of 6) and the one before is 29959.
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 3244th one is 29983.
- 2
29983 is prime because no prime up to ā29983 ā 173.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3244th prime is close to 3244 Ć ln(3244) ā 26226, and here it is 29983.
- 4
29983 has no twin: neither 29981 nor 29985 is prime.
Primes around the 3244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
Questions
What is the 3244th prime number?
29983.
Which prime number is 29983?
29983 is the 3244th prime number.
What is the sum of the first 3244 primes?
45,645,875.