What is the 3198th prime number?
The 3198th prime number is 29429. The next prime is 29437 (a gap of 8) and the one before is 29423.
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 3198th one is 29429.
- 2
29429 is prime because no prime up to ā29429 ā 171.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3198th prime is close to 3198 Ć ln(3198) ā 25809, and here it is 29429.
- 4
29429 has no twin: neither 29427 nor 29431 is prime.
Primes around the 3198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3195 | 29401 | 2 |
| 3196 | 29411 | 10 |
| 3197 | 29423 | 12 |
| 3198 | 29429 | 6 |
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
Questions
What is the 3198th prime number?
29429.
Which prime number is 29429?
29429 is the 3198th prime number.
What is the sum of the first 3198 primes?
44,279,411.