What is the 3226th prime number?
The 3226th prime number is 29759. The next prime is 29761 (a gap of 2) and the one before is 29753.
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 3226th one is 29759.
- 2
29759 is prime because no prime up to ā29759 ā 172.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3226th prime is close to 3226 Ć ln(3226) ā 26063, and here it is 29759.
- 4
29759 is a twin prime: 29759 and 29761 are both prime.
Primes around the 3226th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
Questions
What is the 3226th prime number?
29759.
Which prime number is 29759?
29759 is the 3226th prime number.
What is the sum of the first 3226 primes?
45,108,165.