What is the 6152nd prime number?
The 6152nd prime number is 61057. The next prime is 61091 (a gap of 34) and the one before is 61051.
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 6152nd one is 61057.
- 2
61057 is prime because no prime up to ā61057 ā 247.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6152nd prime is close to 6152 Ć ln(6152) ā 53673, and here it is 61057.
- 4
61057 has no twin: neither 61055 nor 61059 is prime.
Primes around the 6152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6149 | 61031 | 4 |
| 6150 | 61043 | 12 |
| 6151 | 61051 | 8 |
| 6152 | 61057 | 6 |
| 6153 | 61091 | 34 |
| 6154 | 61099 | 8 |
| 6155 | 61121 | 22 |
Questions
What is the 6152nd prime number?
61057.
Which prime number is 61057?
61057 is the 6152nd prime number.
What is the sum of the first 6152 primes?
177,599,713.