Re: Writing a program to hunt for a prime between n^2 and (n+1)^2

• To: mathgroup at smc.vnet.net
• Subject: [mg39201] Re: Writing a program to hunt for a prime between n^2 and (n+1)^2
• From: Bill Rowe <listuser at earthlink.net>
• Date: Mon, 3 Feb 2003 01:10:22 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```On 2/2/03 at 1:13 AM, diana53xiii at earthlink.remove13.net (Diana) wrote:

>My program, which is not fancy:

>NRange = Flatten[{n, Range[10, 20, 1]}]
>NSquared = Flatten[NRange^2]
>NPlus1Squared = Flatten[(NRange+1)^2]

>FirstPrimeGreaterNSquared=Flatten[{"Prime>n^2",Table[NestWhile[#1+1&,n
>^2,!(P rimeQ[#1])&],{n,10,20}]}]

>{NRange, NSquared, FirstPrimeGreaterNSquared, NPlus1Squared} //
>TableForm

>Are there ideas to make this more snazzy, and accomplish the same
>thing?

<<NumberTheory`Master`
TableForm[
{#,#^2,NextPrime[#^2],(#+1)^2}&/@Range[10,20],
TableHeadings->{None,{n,n^2,"Prime>n^2",(n+1)^2}}]

```

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