What is the 6153rd prime number?
The 6153rd prime number is 61091. The next prime is 61099 (a gap of 8) and the one before is 61057.
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 6153rd one is 61091.
- 2
61091 is prime because no prime up to ā61091 ā 247.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6153rd prime is close to 6153 Ć ln(6153) ā 53683, and here it is 61091.
- 4
61091 has no twin: neither 61089 nor 61093 is prime.
Primes around the 6153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6150 | 61043 | 12 |
| 6151 | 61051 | 8 |
| 6152 | 61057 | 6 |
| 6153 | 61091 | 34 |
| 6154 | 61099 | 8 |
| 6155 | 61121 | 22 |
| 6156 | 61129 | 8 |
Questions
What is the 6153rd prime number?
61091.
Which prime number is 61091?
61091 is the 6153rd prime number.
What is the sum of the first 6153 primes?
177,660,804.