What is the 3225th prime number?
The 3225th prime number is 29753. The next prime is 29759 (a gap of 6) and the one before is 29741.
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 3225th one is 29753.
- 2
29753 is prime because no prime up to ā29753 ā 172.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3225th prime is close to 3225 Ć ln(3225) ā 26054, and here it is 29753.
- 4
29753 has no twin: neither 29751 nor 29755 is prime.
Primes around the 3225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
Questions
What is the 3225th prime number?
29753.
Which prime number is 29753?
29753 is the 3225th prime number.
What is the sum of the first 3225 primes?
45,078,406.