What is the 6148th prime number?
The 6148th prime number is 61027. The next prime is 61031 (a gap of 4) and the one before is 61007.
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 6148th one is 61027.
- 2
61027 is prime because no prime up to ā61027 ā 247.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6148th prime is close to 6148 Ć ln(6148) ā 53634, and here it is 61027.
- 4
61027 has no twin: neither 61025 nor 61029 is prime.
Primes around the 6148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6145 | 60961 | 8 |
| 6146 | 61001 | 40 |
| 6147 | 61007 | 6 |
| 6148 | 61027 | 20 |
| 6149 | 61031 | 4 |
| 6150 | 61043 | 12 |
| 6151 | 61051 | 8 |
Questions
What is the 6148th prime number?
61027.
Which prime number is 61027?
61027 is the 6148th prime number.
What is the sum of the first 6148 primes?
177,355,531.