What is the 7048th prime number?
The 7048th prime number is 71171. The next prime is 71191 (a gap of 20) and the one before is 71167.
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 7048th one is 71171.
- 2
71171 is prime because no prime up to ā71171 ā 266.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7048th prime is close to 7048 Ć ln(7048) ā 62449, and here it is 71171.
- 4
71171 has no twin: neither 71169 nor 71173 is prime.
Primes around the 7048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7045 | 71153 | 6 |
| 7046 | 71161 | 8 |
| 7047 | 71167 | 6 |
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
Questions
What is the 7048th prime number?
71171.
Which prime number is 71171?
71171 is the 7048th prime number.
What is the sum of the first 7048 primes?
236,865,991.