What is the 6053rd prime number?
The 6053rd prime number is 59951. The next prime is 59957 (a gap of 6) and the one before is 59929.
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 6053rd one is 59951.
- 2
59951 is prime because no prime up to ā59951 ā 244.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6053rd prime is close to 6053 Ć ln(6053) ā 52711, and here it is 59951.
- 4
59951 has no twin: neither 59949 nor 59953 is prime.
Primes around the 6053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6050 | 59887 | 8 |
| 6051 | 59921 | 34 |
| 6052 | 59929 | 8 |
| 6053 | 59951 | 22 |
| 6054 | 59957 | 6 |
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
Questions
What is the 6053rd prime number?
59951.
Which prime number is 59951?
59951 is the 6053rd prime number.
What is the sum of the first 6053 primes?
171,608,830.