What is the 3241st prime number?
The 3241st prime number is 29927. The next prime is 29947 (a gap of 20) and the one before is 29921.
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 3241st one is 29927.
- 2
29927 is prime because no prime up to ā29927 ā 172.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3241st prime is close to 3241 Ć ln(3241) ā 26199, and here it is 29927.
- 4
29927 has no twin: neither 29925 nor 29929 is prime.
Primes around the 3241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
Questions
What is the 3241st prime number?
29927.
Which prime number is 29927?
29927 is the 3241st prime number.
What is the sum of the first 3241 primes?
45,555,986.