What is the 3177th prime number?
The 3177th prime number is 29221. The next prime is 29231 (a gap of 10) and the one before is 29209.
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 3177th one is 29221.
- 2
29221 is prime because no prime up to ā29221 ā 170.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3177th prime is close to 3177 Ć ln(3177) ā 25618, and here it is 29221.
- 4
29221 has no twin: neither 29219 nor 29223 is prime.
Primes around the 3177th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
Questions
What is the 3177th prime number?
29221.
Which prime number is 29221?
29221 is the 3177th prime number.
What is the sum of the first 3177 primes?
43,663,288.