This is actually surprisingly easy. You will just have to have a way to distinguish those entries with a modified label. There are at least two ways to do that, the two ways are fundamentally different though.
Use keywords, you can just add keywords = {modlabel} to the .bib entry and filter the bibliography with keyword=modlabel and notkeyword=modlabel.
In this case, you will decide in the .bib file whether an entry is to have the modified numbering or not.
When you use a bibliography category approach, this decision is delayed and only made in the actual .tex document. We define a bibliography category
\DeclareBibliographyCategory{modlabel}
Add the respective entries to this category via \addtocategory{modlabel}{<key>} and filter the bibliography with category=modlabel and notcategory=modlabel.
You will have to load biblatex with the defernumbers=true option for both approaches to work properly.
The bibliography for the prefixed entries is then printed in a new refcontext with option labelprefix=P.
MWE (which uses bibliography categories)
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[british]{babel}
\usepackage{csquotes}
\usepackage[style=numeric-verb, backend=bibtex, sorting=none, defernumbers=true]{biblatex}
\addbibresource{biblatex-examples.bib}
\DeclareBibliographyCategory{modlabel}
\addtocategory{modlabel}{cicero,geer}
\begin{document}
\nocite{geer,wilde,cicero,markey,aristotle:physics,aristotle:rhetoric}
\begin{refcontext}[labelprefix=P]
\printbibliography[category=modlabel]
\end{refcontext}
\printbibliography[notcategory=modlabel,heading=none]
\end{document}

In order to avoid the slightly increased spacing between the two \printbibliographys add the following to your preamble
\defbibenvironment{bibliography}
{}
{}
{\item}
\newenvironment{spacedbib}
{\list
{\printtext[labelnumberwidth]{%
\printfield{labelprefix}%
\printfield{labelnumber}}}
{\setlength{\labelwidth}{\labelnumberwidth}%
\setlength{\leftmargin}{\labelwidth}%
\setlength{\labelsep}{\biblabelsep}%
\addtolength{\leftmargin}{\labelsep}%
\setlength{\itemsep}{\bibitemsep}%
\setlength{\parsep}{\bibparsep}}%
\renewcommand*{\makelabel}[1]{\hss##1}}
{\endlist}
And enclose the \pritntbibliograpy commands in this new spacedbib environment like so
\begin{spacedbib}
\begin{refcontext}[labelprefix=P]
\printbibliography[category=modlabel]
\end{refcontext}
\printbibliography[notcategory=modlabel,heading=none]
\end{spacedbib}
bibliography categoriesor add akeywordfield to your data. See § 3.6.7, p.79, Bibliography categories, and § 3.11.4, pp. 109–111, Subdivided bibliographies in the documentation. – Bernard Apr 01 '15 at 12:46