What is the 3227th prime number?
The 3227th prime number is 29761. The next prime is 29789 (a gap of 28) and the one before is 29759.
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 3227th one is 29761.
- 2
29761 is prime because no prime up to ā29761 ā 172.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3227th prime is close to 3227 Ć ln(3227) ā 26072, and here it is 29761.
- 4
29761 is a twin prime: 29759 and 29761 are both prime.
Primes around the 3227th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
Questions
What is the 3227th prime number?
29761.
Which prime number is 29761?
29761 is the 3227th prime number.
What is the sum of the first 3227 primes?
45,137,926.