What is the 3173rd prime number?
The 3173rd prime number is 29191. The next prime is 29201 (a gap of 10) and the one before is 29179.
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 3173rd one is 29191.
- 2
29191 is prime because no prime up to ā29191 ā 170.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3173rd prime is close to 3173 Ć ln(3173) ā 25582, and here it is 29191.
- 4
29191 has no twin: neither 29189 nor 29193 is prime.
Primes around the 3173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
Questions
What is the 3173rd prime number?
29191.
Which prime number is 29191?
29191 is the 3173rd prime number.
What is the sum of the first 3173 primes?
43,546,450.