What is the 5011th prime number?
The 5011th prime number is 48751. The next prime is 48757 (a gap of 6) and the one before is 48733.
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 5011th one is 48751.
- 2
48751 is prime because no prime up to ā48751 ā 220.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5011th prime is close to 5011 Ć ln(5011) ā 42691, and here it is 48751.
- 4
48751 has no twin: neither 48749 nor 48753 is prime.
Primes around the 5011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
Questions
What is the 5011th prime number?
48751.
Which prime number is 48751?
48751 is the 5011th prime number.
What is the sum of the first 5011 primes?
114,990,702.